Online College Courses for Credit

Operations on Functions

Operations on Functions

Author: chris ludbrook

1.  Perform basic mathematical operations with functions.

2.  Identify the domain of calculated functions.

3.  Graphically represent calculated functions.

4.  Create and evaluate the equation of a composition of functions.


In the previous unit, we spent time working with operations of polynomials.  In the same way that we can add, subtract, multiply and divide polynomials, we can also perform these operations with functions.  When we did this work with polynomials however, we were working with expressions, and the resulting expression was sometimes a polynomial and other times the ratio of two polynomials.  When we combine functions, as we will see in this unit, we will end up with a new function related to the original functions.  


See More

Try Our College Algebra Course. For FREE.

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to many different colleges and universities.*

Begin Free Trial
No credit card required

37 Sophia partners guarantee credit transfer.

299 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 33 of Sophia’s online courses. Many different colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.


Basic Operations on Functions

Learn how to add, subtract, multiply, and divide functions. It's really quite easy. Also, there is a brief description on finding the domain of the new functions.