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Inverse Function Calculator
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Inverse Function defines a two functions are as $f$ and $g$, then $f\ (g(x))$ is a function which holds the value is equal to a function $g\ (f(x))$, then the function is called an Inverse Function. Inverse Function Calculator is an online tool which makes calculations easy and fast. Try our free Inverse Function Calculator, understand the various steps involved in solving problems and work on examples based on the concept you need to understand.

Below is given a default function, click "Submit". You can see that it will solve the function for $x$ in terms of $y$ and then interchange the values of $x$ and $y$ to get the inverse of the function.
 

Steps for Inverse Function Calculator

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Step 1 :  

Solve the given function for x and then swith the x and y, so that we get the inverse of the given function.



Examples on Inverse Function

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  1. Find the inverse function for the given function f(x) = 4x + 3


    Step 1 :  

    Given: f(x) = 4x + 3


    Write the function as an equation


    y = 4x + 3


    Now solve for x


    x = $\frac{y-3}{4}$


    Now write f-1(x) as follows


    f-1(x) = $\frac{x-3}{4}$



    Answer  :  

    $\frac{x-3}{4}$



  2. Find the inverse function for the given function f(x) = 3x + 1


    Step 1 :  

    Given: f(x) = 3x + 1


    Write the function as an equation


    y = 3x + 1


    Now solve for x


    x = $\frac{y-1}{3}$


    Now write f-1(x) as follows


    f-1(x) = $\frac{x-1}{3}$



    Answer  :  

    $\frac{x-1}{3}$



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