Math

Inverse Functions

In order to find the inverse of a function , one has to do the following steps:

Step 1: Interchange x and y

Step 2: Solve the equation from Step 1 for y.

Step 3: Replace y with .

Example: Find the inverse of

Step 1: We interchange x and y

Step 2: We solve for y

Step 3: We replace y with 

Example: Find the inverse of

Step 1: We interchange x and y,

Step 2:  We solve the equation from Step 1 for y

Step 3: 

Example: Find the inverse of

Step 1: We interchange x and y: 

Step 2: We solve the equation from Step 1 for y:

Step 3: We replace y with :