Verifying inverses

The video tutorial explains the concept of inverse functions and how to verify them using composition. It begins with an introduction to inverses and inverse operations, followed by a detailed explanation of function composition. The tutorial includes examples and exercises to demonstrate how to verify if two functions are inverses by checking if their composition results in the identity element. The video concludes with problem-solving exercises to reinforce the learning objectives.

What role does the domain and range play in determining inverses?

Why is it important to check both compositions when verifying inverses?

How can you use algebra to simplify expressions when verifying inverses?

Provide an example of two functions that are not inverses and explain why.