22Which equationdefines the inverse of this function?. answered Which equation is the inverse of y = 16x2 + 1? See answer Advertisement expert107 Answer: you can write this answer Advertisement New questions in Math Given that AOB and COD are straight lines,find the value of the unknown in each of the following figure Using proper identity, find the value of: (-25)^3 + (18)^3 + (7)^3. y = 16x^2 + 1, We can divide both site of the equation to find the value of x. The quadratic equation on a number x can be solved using the well-known quadratic formula, which. Which equation is the inverse of y = 16x2 + 1?>Which equation is the inverse of y = 16x2 + 1?. What is the Inverse function of $f(x)=192x. Tap for more steps 5y+4 = x2 +6x+ 19 2 5 y + 4 = x 2 + 6 x + 19 2 Move all terms not containing y y to the right side of the equation. Free Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-step. Tap for more steps 5y+4 = x2 +6x+ 19 2 5 y + 4 = x 2 + 6 x + 19 2 Move all terms not containing y y to the right side of the equation. Find the Inverse 5y+4=(x+3)^2+1/2. Use the graph to approximate the speed for a car that stops completely after 70 feet. If the domain of the square root function f (x) is x<7, which statement must be true? Students also viewed The Square Root Function Quiz 10 terms joseph5385. Find area of triangle given by its 3 sides. y - 1 = 16x^2 Divide both side by 16. f (x) = /tan /left (/frac {x} {3}/right) tan(3x). A function basically relates an input to an output, there’s an input, a relationship and an output. f −1(x) = √x− 1 4,− √x −1 4 f - 1 ( x) = x - 1 4, - x - 1 4. The inverse function returns the original value for which a function gave the output. Algebra Find the Inverse y=16x^2+1 y = 16x2 + 1 y = 16 x 2 + 1 Interchange the variables. Which equation is the inverse of y = 2x2. Algebra Find the Inverse y=16x^2+1 y = 16x2 + 1 y = 16 x 2 + 1 Interchange the variables. To find the inverse of any function, first, replace the function variable with the other variable and then solve for the other variable by replacing each other. Functions End Behavior Calculator. Which equation is the inverse of y=16x2+1 ？ y= - Gauthmath Answer: The equation is non-invertible； The equations of the graph gained by reflecting over y = x: y=±df. com member to unlock this answer!. Since we are presented with what y is equal to, we will then just solve for y again after the inverse is applied. You have y = 192 x − 16 x 2; rewrite it as 16 x 2 − 192 x + y = 0, and treat y as the constant term to get x = 192 ± 192 2 − 64 y 32 = 6 ± 64 ( 576 − y) 32 = 6 ± 576 − y 4. Which equation is the inverse of $y = 16x^2 + 1$? / Quizlet Related questions with answers Find the inverse of each function. The general form is ax²+bx+c=0, where a ≠ 0. Which Equation is the Inverse of Y 16x2 1. Example 14Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas:(ii) y2 – 16x2 = 16The given equation is y2 – 16x2 = 16Divide whole equation by 16 (𝑦2−16𝑥2)/16 = 16/16 𝑦2/16 − 𝑥2/1 = 1The above equation i. Match each system of equations to the inverse of its coefficient matrix, A-1, and the matrix of its solution, X. Tap for more steps y = √2(x+8) 2 y = 2 ( x + 8) 2 y = − √2(x+8) 2 y = - 2 ( x + 8) 2 Replace y y with f −1(x) f - 1 ( x) to show the final answer. Which equation is the inverse of y=16x2+1 ？. Step 1: Enter the function below for which you want to find the inverse. We interchange x and y to get, We now make y the subject to get; We divide through by 16 to get; We now take the square root of both sides to get; Since , the inverse function is. = x The inverse is (x) = Send You might be interested in Help me quick please kherson [118]. x = 100− y2 x = 100 - y 2 Solve for y y. Example: Find the inverse of f (x) = y = 3x − 2 Solution: First, replace f (x) with f (y). Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Polar/Cartesian Functions Arithmetic & Comp. Now, the equation y = 3x − 2 will become,. An example with three indeterminates is x³ + 2xyz² − yz + 1. Find the inverse function: The equation is non-invertible； The equations of the graph gained by reflecting over y = x: y=. If the domain of the square root function f (x) is x<7, which statement. y - 1 = 16x^2 Divide both side by 16. 15 The inverse of the function y 2x 5 is 16 What is the inverse of the function y 2 7x? 1 17 If f(x)x 2, then the inverse function is 2 18 Given f(x) 1 8, which equation represents the 2inverse, g(x)? 3 19 A function is defined by the equation y x. 15 The inverse of the function y 2x 5 is 16 What is the inverse of the function y 2 7x? 1 17 If f(x)x 2, then the inverse function is 2 18 Given f(x) 1 8, which equation represents the 2inverse, g(x)? 3 19 A function is defined by the equation y x. If f (x) is a given function, then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i. First, apply (-x) and (-y2) to each side. Tap for more steps y = √−x+100 y = - x + 100 y = −√−x+100 y = - - x + 100 Replace y y with f −1(x) f - 1 ( x) to show the final answer. Equations Inequalities System of Equations System of Inequalities Basic Operations Algebraic Properties Partial Fractions Polynomials Rational Expressions Sequences Power Sums Interval Notation Pi Inverse; Intercepts; Parity; Asymptotes; y=mx+b; Y Intercept; X Intercepts; Point Slope Form; Step Functions; x^2-y^2=1; asymptotes/:x^2-y^2=1;. Line Equation From Point And Slope. answered Which equation is the inverse of y = 16x2 + 1? See answer Advertisement expert107 Answer: you can write this answer Advertisement New questions in Math Given that AOB and COD are straight lines,find the value of the unknown in each of the following figure Using proper identity, find the value of: (-25)^3 + (18)^3 + (7)^3. Answer and Explanation: 1 Become a Study. Model the total stopping distance by the equation y = /frac { x ^ { 2 } } { 20 } + x y = 20x2 +x , where x represents the speed in miles per hour and y represents the total stopping distance in feet. Answer: The equation is non-invertible； The equations of the graph gained by reflecting over y = x: y=±df. Find the Inverse y=2x^2 Step 1 Interchange the variables. The inverse function calculator finds the inverse of the given function. This gives you two functions, both defined for y ≤ 576: x = 6 + 576 − y 4,. What is the slope of the inverse equation of y = 2/3 x - 6? 3/2. y = 16x^2 + 1, We can divide both site of the equation to find the value of x. Which Equation is the Inverse of Y 16×2 1 An inverse function or an anti role is defined as a function, which can reverse into some other function. The simplest method to find out the inverse of a function is the swapping of the coordinates of x x and y y. The quadratic equation on a number x can be. What is the inverse of the equation y = x/6 ? y = 6x. 25), [1501 X= 180 (340) +2y-2z=140 +y-z = 400 -3x-y+2z = 900 …. f −1(x) = √x− 1 4,− √x −1 4 f - 1 ( x) = x - 1 4, - x - 1 4. Show 1 more comment. Free math problem solver answers your algebra homework questions with step-by-step explanations. Free Parabola calculator - Calculate parabola foci, vertices, axis and directrix step-by-step. If the domain of the square root function f(x) is Get detailed step-by-step answers. In algebra, a quadratic equation (from Latin quadratus square) is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. Which equation is the inverse of y=16x2+1 ? y= ± square root of x/16 -1 y=frac ± square root of x-116 y=frac ± square root of x4- 1/4 + square root of x-1 Question Gauthmathier9749. Hence, we get x = 2y 2 - 8 ⇒ x = 2y 2 - 8 ⇒ x + 8 = 2y 2 ⇒ (x + 8) / 2 = y 2 ⇒ √ [ (x + 8) / 2] = y. If the domain of the square root function f (x) is x<7, which statement must be true? Students also viewed The Square Root Function Quiz 10 terms joseph5385 Unit Test / Unit Test Review 15 terms Ryman6969 completeing the square cred 50 terms. Which equation is the inverse of y = 16x2 + 1? Which equation is the inverse of y = 16x2 + 1? The x-term inside the radical has a negative coefficient. The inverse function returns the original value for which a function gave the output. In algebra, a quadratic equation (from Latin quadratus square) is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers, where a ≠ 0. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators. Example 14Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas:(ii) y2 – 16x2 = 16The given equation is y2 – 16x2 = 16Divide whole equation by 16 (𝑦2−16𝑥2)/16 = 16/16 𝑦2/16 −. About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How YouTube works Test new features Press Copyright Contact us Creators. In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows: y = 16x² + 1 x = 16y² + 1 Subtracting 1. Match each system of equations to the inverse of its coefficient matrix, A-1, and the matrix of its solution, X. Given equation: y =. Find the Inverse y=2x^2-8 y = 2x2 − 8 y = 2 x 2 - 8 Interchange the variables. Inverse FUNctions MATH 3 Flashcards. Note: The relation, developed when the contained variable is interchanged with the variable which is dependent on a specified equation and this inverse may or may not be a role. If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = ten. You can get math help online by visiting websites like Khan Academy or Mathway. f −1(x) = √−x+ 100,−√−x+100 f - 1 ( x) = - x + 100, - - x + 100. You have y = 192 x − 16 x 2; rewrite it as 16 x 2 − 192 x + y = 0, and treat y as the constant term to get. y = 16x² + 1 We see to find the inverse of the function Replace y with x to have; x = 16y² - 1 Make y the subject of the formula 16y² = x + 1 Divide both sides by 16 16y²/16 = x+1/16 y² = x+1/16 Take the square root of both sides y = /sqrt {x+1/16} Hence the inverse of the function is y = /sqrt {x+1/16}. The inverse function calculator finds the inverse of the given function. = x The inverse is (x) = Send You might be interested in Help me quick please kherson [118]. What is the slope of the inverse equation of y = 2x + 4? 1/2. Answer: The equation is non-invertible； The equations of the graph gained by reflecting over y = x:. Free math problem solver answers your algebra homework questions with step-by-step explanations. Coordinate Geometry Plane Geometry Inverse; Intercepts; Parity; Asymptotes; y=mx+b; Y Intercept; X Intercepts; Point Slope Form (x+3)^2=-20(y-1) Show More; Description. Replace f(x) with y in the equation for f(x) 2. x = f (y) x = f ( y). In mathematics, a quadratic equation is a polynomial equation of the second degree. In simple words, if any office “f” takes x to y then, the inverse of “f” will have y to x. To find the inverse of any function, first, replace the function variable with the other variable and then solve for the other variable by replacing each other. Which equation is the inverse of y=16x2+1 ？ y= - Gauthmath Answer: The equation is non-invertible； The equations of the graph gained by reflecting over y = x: y=±df. To find the inverse of any function, first, replace the function variable with the other variable and then solve for the other variable by replacing each other. Find the inverse function: The equation is non-invertible； The equations of the graph gained by re Gauthmath Drag an image here, or Uploada question About usGauth. For this function to have an inverse, we must restrict the domain, say. This inverse equation can be used to solve for x when given a value of y x = (y - 1) / 16 In order to find the inverse of a given equation, we need to switch the x. ) The numbers a, b, and c are the coefficients of the equation. In mathematics, a quadratic equation is a polynomial equation of the second degree. answered Which equation is the inverse of y = 16x2 + 1? See answer Advertisement expert107 Answer: you can write this answer Advertisement New questions in Math Given that AOB and COD are straight lines,find the value of the unknown in each of the following figure Using proper identity, find the value of: (-25)^3 + (18)^3 + (7)^3. Which equation is the inverse of y = 16x2 + 1?. com>Which Equation is the Inverse of Y 16x2 1. Find the Inverse y=16x^2+1 y = 16x2 + 1 y = 16 x 2 + 1 Interchange the variables. Interchange x and y 3. Which equation is the inverse of y = 16x2 + 1? The x-term inside the radical has a negative coefficient. Which equation is the inverse of $y = 16x^2 + 1$? / Quizlet Related questions with answers Find the inverse of each function. (If a = 0 and b ≠ 0 then the equation is linear, not quadratic. Find derivative implicitly with respect to x for tan(x. 1 Rewrite the equationas. Which equation is the inverse of $y = 16x^2 + 1$?. To find the inverse of any function, first, replace the function variable with the other variable and then solve for the other variable by replacing each other. Free math problem solver answers your algebra homework questions with step-by-step explanations. 25), [100] X= 210 90] *+3y+z=700 *+y-z=600 2x+y+2z=350 A-1 A-1 1. x = 16y2 +1 x = 16 y 2 + 1 Solve for y y. In mathematics, a quadratic equation is a polynomial equation of the second degree. A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation. Algebra Find the Inverse 5y+4= (x+3)^2+1/2 5y + 4 = (x + 3)2 + 1 2 5 y + 4 = ( x + 3) 2 + 1 2 Simplify (x +3)2 + 1 2 ( x + 3) 2 + 1 2. 4: Inverse of Functions 1b. x = 192 ± 192 2 − 64 y 32 = 6 ± 64 ( 576 − y) 32 = 6 ± 576 − y 4. 1 Divideeach termin by. Answer and Explanation: 1 Become a Study. Tap for more steps y = √x− 1 4 y = x - 1 4 y = − √x−1 4 y = - x - 1 4 Replace y y with f −1(x) f - 1 ( x) to show the final answer. Find the inverse function: The equation is non-invertible； The equations of the graph gained by re Gauthmath Drag an image here, or Uploada question About usGauth PLUS Log in Cancel. If f (x) f ( x) is a given function, then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i. Tap for more steps 5y = x2 +6x+ 11 2 5 y = x 2 + 6 x + 11 2. A role that consists of its changed fetches the original value. Which equation is the inverse of y = 16x2 + 1? Which equation is the inverse of y = 16x2 + 1? The x-term inside the radical has a negative coefficient. For every input Save to Notebook!. Which equation is the inverse of y=16x2+1 ？ y= ± square root of x/16 -1 y=frac ± square root of x-116 y=frac ± square root of x4- 1/4 y=frac ± square root of x-14. y=/log (x+1) y = log(x+1) find the general antiderivative of the given function. Solved Drag the tiles to the boxes to form correct pairs. Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Inverse; Intercepts; Parity; x^2-y^2=1; Show More;. Instead of completing the square, as in lab bhattacharjee’s answer, you can use the quadratic formula. Find the Inverse y=2x^2 Step 1 Interchange the variables. Step 1: Enter the function below for which you want to find the inverse. Replace y with f⁻¹(x) The inverse of f(x) = x + 11. What is the inverse of y = 2x^2. The given equation is. Step 1: Enter the function below for which you want to find the inverse. 1 Cancel the common factorof. answered Which equation is the inverse of y = 16x2 + 1? See answer Advertisement expert107 Answer: you can write this answer Advertisement New questions in Math Given that AOB and COD are straight lines,find the value of the unknown in each of the following figure Using proper identity, find the value of: (-25)^3 + (18)^3 + (7)^3. The inverse is ±sqrt((x-1))/ 4 Step-by-step explanation: y = 16x^2 + 1 To find the inverse, exchange x and y x = 16 y^2 +1 Then solve for y Subtract 1 x-1 = 16 y^2 Divide by 16 (x-1)/16 = y^2 Take the square root of each side ±sqrt((x-1)/16) = sqrt(y^2) ±sqrt((x-1))/ sqrt(16) = y ±sqrt((x-1))/ 4 = y The inverse is ±sqrt((x-1))/ 4 Send. The inverse of an equation is found by interchanging the position of x and y and then the equation is solved for y in terms of x. Circle from equation. Which Equation Is The Inverse Of Y 16x2 1We interchange x and y to get, We now make y the subject to get; We divide through by 16 to get; We now take the square root of both sides to get; Since , the inverse function is. x = 16y2 +1 x = 16 y 2 + 1 Solve for y y. Solution: The function which reverses into another function is called an inverse function. Instead of completing the square, as in lab bhattacharjee’s answer, you can use the quadratic formula. 2 Divideeach termin by and simplify. Then, g(y) = (y-five)/2 = x is the inverse of f(x). Algebra Find the Inverse y=16x^2+1 y = 16x2 + 1 y = 16 x 2 + 1 Interchange the variables. Model the total stopping distance by the equation y = /frac { x ^ { 2 } } { 20 } + x y = 20x2 +x , where x represents the speed in miles per hour and y represents the total stopping distance in feet. Which equation is the inverse of y=16x2+1 ? y= ± square root of x/16 -1 y=frac ± square root of x-116 y=frac ± square root of x4- 1/4 + square root of x-1. So, switching the letters results in x = 100 - y2. is the Inverse function of $f(x)=192x. answered Which equation is the inverse of y = 16x2 + 1? See answer Advertisement expert107 Answer: you can write this answer Advertisement New. Example 14Find the coordinates of the foci and the vertices, the eccentricity, the length of the latus rectum of the hyperbolas:(ii) y2 – 16x2 = 16The given equation is y2 – 16x2 = 16Divide whole equation by 16 (𝑦2−16𝑥2)/16 = 16/16 𝑦2/16 − 𝑥2/1 = 1The above equation i. y = 16x^2 + 1, We can divide both site of the equation to find the value of x. Which Equation is the Inverse of Y 16×2 1 An inverse function or an anti role is defined as a function, which can reverse into some other function. Find the Inverse y=16x^2+1. The inverse function calculator finds the inverse of the given function. The given equation is. In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows: y = 16x² + 1 x = 16y² + 1 Subtracting 1 from both sides, we have: 16y² + 1 - 1 = x - 1 16y² = x - 1 Dividing both sides by 16, we have: y² = (x - 1)/16 Taking the square root of both sides, we have: y = ±√ (x - 1)/16. Algebra Find the Inverse 5y+4= (x+3)^2+1/2 5y + 4 = (x + 3)2 + 1 2 5 y + 4 = ( x + 3) 2 + 1 2 Simplify (x +3)2 + 1 2 ( x + 3) 2 + 1 2. 1 Cancel the common factorof. f −1(x) = √2(x+8) 2,− √2(x+8) 2 f - 1 ( x) = 2 ( x + 8) 2, - 2 ( x + 8) 2. Circle from equation. In order to find the inverse equation, we need to first switch the x and y portions of the formula. In order to determine the inverse of the given function, we would interchange input value (x) and the output value (y) as follows: y = 16x² + 1 x = 16y² + 1 Subtracting 1 from both sides, we have: 16y² + 1 - 1 = x - 1 16y² = x - 1 Dividing both sides by 16, we have: y² = (x - 1)/16 Taking the square root of both sides, we have: y = ±√ (x - 1)/16. x = 16y2 +1 x = 16 y 2 + 1 Solve for y y. Find the Inverse y=100-x^2 y = 100 − x2 y = 100 - x 2 Interchange the variables. y=/log (x+1) y = log(x+1) find the general antiderivative of the given function. Tap for more steps y = √x− 1 4 y = x - 1 4 y = − √x−1 4 y = - x - 1 4 Replace y y with f −1(x) f - 1 ( x) to show the final answer. If f (x) is a given function, then the. In simple words, if any office “f” takes x to y then, the inverse of “f” will have y to x. y = 16x² + 1 We see to find the inverse of the function Replace y with x to have; x = 16y² - 1 Make y the subject of the formula 16y² = x + 1 Divide both sides by 16 16y²/16 = x+1/16 y² = x+1/16 Take the square root of both sides y = /sqrt {x+1/16} Hence the inverse of the function is y = /sqrt {x+1/16}. Then, g(y) = (y-five)/2 = x is the inverse of f(x). Which equation is the inverse of y = 16x2 + 1? The x-term inside the radical has a negative coefficient. The inverse function calculator finds the inverse of the given function. You can do any valid operation on both sides of the equation and it will still be equal. Step 2: Click the blue arrow to submit. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f -1 or F -1. x = 2y2 −8 x = 2 y 2 - 8 Solve for y y. Which equation is the inverse of y = 16x^2 + 1?. y = 16x² + 1 We see to find the inverse of the function Replace y with x to have; x = 16y² - 1 Make y the subject of the formula 16y² = x + 1 Divide both sides by 16 16y²/16 = x+1/16 y² = x+1/16 Take the square root of both sides y = /sqrt {x+1/16} Hence the inverse of the function is y = /sqrt {x+1/16}. 12 · Find the inverse function: The equation is non-invertible； The equations of the graph gained by reflecting over y = x: y=. 41+2y-2%3D150 +y-z=-100 -3y-y+z=600 [0. Which Equation is the Inverse of Y 16×2 1 An inverse function or an anti role is defined as a function, which can reverse into some other function. Step 1: Enter the function below for which you want to find the inverse. In order to find the inverse equation, we need to first switch the x and y portions of the formula. Which equation is the inverse of y=16x2+1 ？ y=. Which equation is the inverse of y=16x2+1 ? y= ±. The inverse is ±sqrt((x-1))/ 4 Step-by-step explanation: y = 16x^2 + 1 To find the inverse, exchange x and y x = 16 y^2 +1 Then solve for y Subtract 1 x-1 = 16 y^2 Divide by 16 (x-1)/16 = y^2 Take the square root of each side ±sqrt((x-1)/16) = sqrt(y^2) ±sqrt((x-1))/ sqrt(16) = y ±sqrt((x-1))/ 4 = y The inverse is ±sqrt((x-1))/ 4 Send. Tap for more steps y = √x− 1 4 y = x - 1 4 y = − √x−1 4 y = - x - 1 4 Replace y y with f −1(x) f - 1 ( x) to show the final answer. Which equation is the inverse of y = 16x2 + 1? The x-term inside the radical has a negative coefficient. If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = ten. Step 1: Enter the function below for which you want to find the inverse. Which equation is the inverse of $y = 16x^2 + 1$? / Quizlet Related questions with answers Find the inverse of each function. y= - Gauthmath. (If a = 0 and b ≠ 0 then the equation is. 1 Rewrite the equationas. Example: f(x) = 2x + 5 = y. Which equation is the inverse of y = 16x2 + 1? y = plus. Which equation can be simplified to find the inverse of y = x^2 - 7? y= +-√x-1 / 4 Which equation is the inverse of y = 16x2 + 1? The x-term inside the radical has a negative coefficient. Algebra Find the Inverse 5y+4= (x+3)^2+1/2 5y + 4 = (x + 3)2 + 1 2 5 y + 4 = ( x + 3) 2 + 1 2 Simplify (x +3)2 + 1 2 ( x + 3) 2 + 1 2. Then, g(y) = (y-five)/2 = x is the inverse of f(x). From the given data in the question, we have y = 2x 2 - 8 To find the inverse of any function we need to interchange the variables. Which equation is the inverse of y=16x2+1 ? y= ± square root of x/16 -1 y=frac ± square root of x-116 y=frac ± square root of x4- 1/4 + square root of x-1 Question. The equation is, y = 16x² + 1, By. in>Which equation is the inverse of y = 16x2 + 1?. You can do any valid operation on both sides of the equation and it will still be equal. Line Equation From Point And Slope. The quadratic equation on a number x can be solved using the well-known quadratic formula, which can be derived by completing the square. Free math problem solver answers your algebra homework questions with step-by-step explanations. Which equation is the inverse of y 16x2 1?. Find the inverse function: The equation is non-invertible； The equations of the graph gained by re. To find the inverse we interchange the value of x and y, Now, solve for y Divide by 16 both side, Taking root both side, Therefore, The inverse of the equation is. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f -1 or F -1. An example is provided below for better understanding. Which equation is the inverse of y=16x2+1 ？. Example: Find the inverse of f (x) = y = 3x − 2 Solution: First, replace f (x) with f (y). The inverse is ±sqrt((x-1))/ 4 Step-by-step explanation: y = 16x^2 + 1 To find the inverse, exchange x and y x = 16 y^2 +1 Then solve for y Subtract 1 x-1 = 16 y^2 Divide by 16 (x-1)/16 = y^2 Take the square root of each side ±sqrt((x-1)/16) = sqrt(y^2) ±sqrt((x-1))/ sqrt(16) = y ±sqrt((x-1))/ 4 = y The inverse is ±sqrt((x-1))/ 4 Send. 4: Inverse of Functions 1b 1 If the graph of the equation y 2x is reflected in the line y x, the equation of the image is 2 Which equation is the inverse of y 3x? 3 What is the inverse of f(x) 2 3 x? 4 Which is an equation of the inverse of y 3 2 x? 5 What is the inverse of the function y 3x 2? 6 If a function is defined by the equation. If f (x) f ( x) is a given function, then the inverse of the function is calculated by interchanging the variables and expressing x as a function of y i. f −1(x) = √x− 1 4,− √x −1 4 f - 1 ( x) = x - 1 4, - x - 1 4. Equations Inequalities Simultaneous Equations System of Inequalities Polynomials Rationales Complex Numbers Inverse; Intercepts; Parity; x^2-y^2=1; Show More;. Inverse Function Calculator. Which equation is the inverse of. Tap for more steps 5y = x2 +6x+ 11 2 5 y = x 2 + 6 x + 11 2.