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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