Course: College Algebra
Topic: Functions and Graphs
Subtopic: Composite and Inverse Functions


Although this material is all review from intermediate algebra, it is important in this course to make firm your understanding of the material and expand it to college level concepts. These ideas and processes form the basis for our work with various special functions in the remainder of this course.


By the end of this topic you should know and be prepared to be tested on:


Terms you should be able to define: composite function, inverse function, one-to-one, horizontal line test

Mini-Lectures and Examples

STUDY: Functions - Composite and Inverse

Supplemental Resources

Use my Functions and Graphs Checklist as a checklist to be sure that you have learned all that you should Patrick Just Math Tutorial's Inverse Functions - The Basics is a comprehensive (rather long) video with a good variety of algebraic processes related to inverse functions. You may find useful Prof. Wlodarczyk's Overview of Functions which presents definitions and examples, many with graphs. The Math Page's Topics in Precalculus: Inverse Functions provides an overall review of inverse functions. PurpleMath's Inverse Functions provides complete coverage of inverse functions from Intermediate Algebra and College Algebra courses.

rev. 2020-10-10