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Math

Attribution

Some of the content of this guide was modeled after a guide originally created by the Openstax and has been adapted for the GPRC Learning Commons in April 2021. This work is licensed under a Creative Commons BY 4.0 International License.

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 
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