Inverse Functions

The video tutorial explains inverse functions, starting with the basic concept that an inverse function reverses the operations of the original function. It covers how to find inverse functions using algebra, the properties of inverse functions, and how to verify them mathematically. The tutorial includes examples and practice problems, demonstrating the process of swapping variables and solving for the inverse. It also discusses the graphical representation of inverse functions, highlighting the reflection across the line y = x.

What is the definition of an inverse function?

Explain the process of finding the inverse of a function.

How does the domain of a function relate to the range of its inverse?

What does it mean if a function does not have an inverse?

Demonstrate how to verify that two functions are inverses of each other.

Provide an example of a function and its inverse, explaining the steps taken to find the inverse.

Describe how reflecting a function across the line y = x relates to finding its inverse.