Inverse Function Calculator

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Inverse function is the reciprocal of the given function. If f(x) is the given function and g(x) is the inverse of the function then g(f(x)) = x. To find the inverse of a function, we switch places of the variable and then solve the function. The Inverse function calculator is the instant online tool used to find the inverse of a given function.

Example 1: Find the inverse of the function f(x) = x² + 5.

Given is an equation f(x) = x² + 5.

To find the inverse of y = x² + 5 Switch ‘x’ and ’y’ places x = y² + 5

Solve for y Subtract 5 on both sides of the equation x - 5 = y²

Now square root the equation on both sides y =± √(x - 5)

Therefore f(x)^-1 is written as f(x)^-1 =± √(x - 5)

Example 2: Find the inverse of the function f(x) = 4x² – 7.

Given is an equation f(x) = 4x² - 7.

To find the inverse y = 4x² – 7 Switch ‘x’ and ’y’ places x = 4y² - 7

Solve for y Add 7 on both sides x + 7 = 4y²

Now square root the equation on both sides and divide by 2.

2y/2 =± [√(x + 7)]/2

Therefore f(x)^-1 is written as: f(x)^-1 =± [√(x + 7)]/2

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