College Algebra: Module 2: More on Functions
Composition of Functions Examples
Examples of composition of functions, for example (g◦f)(x), (f◦g)(x), are presented here.
Summary of Stretching, Shrinking, Translation, and Reflection
Here’s a summary of the information on page 212 in the text: Stretch, Shrink, Translate, Reflect.
If you’d like a brief introduction to sets and their operations, i.e., unions, intersections, complements, etc., there is a brief introduction available in this Wikipedia article. The material in the Basic Operations section is particularly useful.