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Math Calculators ▶ Inverse Function Calculator

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**Table of Content**

Use this inverse function calculator that helps you to determine the inverse of any given function, with a step by step solution. However, the inverse of a particular function may or may not be a function.

Function Inverse Calculator calculate the inverse of entered function with these steps:

**Input: **

- First of all, enter a function f (x).
- Hit the “Calculate” button.

**Output:**

- The function inverse calculator with steps gives the inverse function of the particular function.
- Then replace the variables and display a step-by-step solution for entered function.

Compute the inverse function (*f*^{-1}) of the given function by the following steps:

- First, take a function f(y) having y as the variable.
- Now, consider that x is the function for f(y)
- Then reverse the variables y and x, then the resulting function will be x and
- Solve the equation y for x and find the value of x.

To make it convenient for you, the inverse of a function calculator with steps does all these calculations for you in a fraction of a second.

**Example # 01: **

Calculate the inverse of the functions x = y+11/13y+19?

**Solution:**

Replace the variables y & x, to find inverse function *f*^{-1 }with inverse calculator with steps:

$$y = x + 11 / 13x + 19$$

$$y (13x + 19) = x + 11$$

$$13xy + 19y – x = 11$$

$$x (13y – 1) = 11 – 19y$$

$$x = 11 – 19y / 13y – 1$$

Hence, the inverse function of y+11/13y+19 is 11 – 19y / 13y – 1.

Here you can also verify the results by using this best find f^-1(x) calculator.

From the source of Wikipedia: Inverses and composition, Notation, Self-inverses, Graph of the inverse, Inverses, and derivatives.