Verifying that two functions are inverses

The video tutorial explains how to verify if two functions are inverses of each other by using function composition. It introduces the concept of inverse functions and demonstrates the process of composing a function with its inverse to check if the result is the identity function. The tutorial provides a step-by-step example, showing how to simplify compositions and verify that both compositions equal the original input, thus confirming the functions are inverses.

How can you simplify the expression sqrt(X^2 + 4) - 4?

What is the significance of being able to cancel terms in the verification of inverse functions?