1.4 Inverse Functions

OpenStax Calculus Volume 1 — Section 1.4

Learning Objectives

  • Determine whether a function is one-to-one using the horizontal line test

  • Find the inverse of a one-to-one function algebraically

  • Verify inverse relationships: \(f(f^{-1}(x)) = x\) and \(f^{-1}(f(x)) = x\)

  • Graph a function and its inverse as reflections across \(y = x\)

Key Concepts

To be filled during study.

Practice Problems

To be completed with textbook exercises.

Section Summary

To be written after completing the section.

Study Notes

Personal observations and connections to engineering work.