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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.

Operations with Functions

In this guide, we study some operations with functions. For two well-defined functions f(x) and g(x), we define the following operations:

 

1) Addition
                                                                   

 

Example: For and , find .

 

2) Subtraction
                                                                       

 

Example: For and , find  

 

3) Multiplication
                                                                              

 

Example: For and , find 

 

4) Division 
                                                                                 

 

Example: For and , find 

Example: For and , find the following:

                  

Solution: