Inverse of a function is something that inverses the given function to get y = f-1(x). The inverse of inverse function is the function itself. For a given function y = f(x) is such that f-1(f(x)) = x for all the values of x for function f defined.

Inverse function Calculator find the inverse of any given function with respect to the variable, if the function is entered in the block provided.

## Inverse Function Problems

Here are some steps to solve the inverse function
Step 1 : Read the problem and note the given function y = f(x)
Step 2 : Solve the function x in terms of variable y.
Step 3 : Interchange the values x and y to get inverse function y = f-1(x).

Below are given some solved problems on inverse function which may be useful for you.

### Solved Examples

Question 1: Find the inverse function for the function f(x) = $\frac{x + 5}{x + 2}$
Solution:

Step 1: The Given function is y = $\frac{x + 5}{x + 2}$

Step 2: Solving for x
y(x + 2) = (x + 5)
xy + 2y = x + 5
xy - x = 5 - 2y
x = $\frac{5 - 2y}{y - 1}$

Step 3: Interchanging the values of x and y, we get
y = $\frac{5 - 2x}{x - 1}$.

Question 2: Find the inverse function for the function f(x) = 5x + 1.
Solution:

Step 1: The Given function is y = 5x + 1

Step 2:
Solving for x we get
5x = y - 1
x = $\frac{y - 1}{5}$

Step 3:
Interchanging the values of x and y, we get the inverse function
y = $\frac{x - 1}{5}$.

### Composite Function Calculator

 Function Inverse Composition of Inverse Functions Derivative Inverse Trig Functions derivative of inverse function proof Derivative of Inverse Functions Derivative of Inverse Hyperbolic Functions
 Inverse Trig Function Calculator Cotangent Inverse Calculator Find Inverse Matrix Calculator Calculator Functions Calculate Exponential Function calculating gamma function
 inverse function calculator inverse functions calculator inverse calculator average rate of change calculator power series calculator domain and range calculator