College Algebra · Module 10 · Composition and inverse functions

Inverse Walkthrough

Watch functions combine, chain together as machines and run backwards. Learn to compose from formulas, tables and graphs, test for one-to-one, find and check an inverse, and see its graph fold over the line y = x. Go at your own pace. Nothing here is graded.

Speed

Think of it like this

Quick check

Wrong answers are fine here. Read why, then try again.

Dr. Akash Garg · College Algebra Study Tools · CC BY-NC-SA 4.0
Use the left and right arrow keys to move between steps. Practice next in the Inverse Lab. On every graph f is purple, g is teal, a composition is blue and an inverse is orange; the mirror line y = x is a gold dashed line. Animations loop so you can watch them as many times as you like. Health and money numbers are made-up practice values, not clinical or financial guidance.