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Day 11: Section 3.5 Composition and Inverses

College Algebra 201 and 202 - Summer 2026

MTH 122 · COLLEGE ALGEBRA · DAY 11

Section 3.5 Composition and Inverses

✅ To-Do This Day

🎯 Learning Objectives (click to expand)
  • Combine functions using algebraic operations.
  • Create a new function by composition of functions.
  • Evaluate composite functions.
  • Find the domain of a composite function.
  • Verify inverse functions.
  • Determine the domain and range of an inverse function, and restrict the domain of a function to make it one-to-one.
  • Find or evaluate the inverse of a function.
  • Use the graph of a one-to-one function to graph its inverse function on the same axes.

📝 Guided Notes

Print or open digitally and fill in as you watch the videos.

📄 Day 11 Guided Notes (blank)

🎬 Day 11 Videos

Watch the videos below.

1. Combining Functions

2. Composition of functions

3. One to one functions

4. Inverses

📚 Required Reading

Chapter 3 Sections 5 and 7

✅ Completed Notes (Reference)

A worked-through copy of the guided notes — use after you've tried the videos to check your understanding.

📄 Day 11 Completed Guided Notes

Day 11: Section 3.5 Composition and Inverses - MTH122 201/202