Finding a Function’s Inverse Algebraically

The video tutorial explains inverse functions, starting with simple examples and moving to more complex cases. It covers the algebraic process of finding inverses, verifying them through composition, and handling non-one-to-one functions by restricting their domain. The tutorial uses functions F, G, and H to illustrate these concepts, emphasizing the importance of the vertical and horizontal line tests in determining if a function has an inverse.

How do you verify that two functions are inverses of each other?

What is the significance of restricting the domain of a function when finding its inverse?

Explain the importance of the radicand in the context of finding the inverse of H of X.