Inverse of a function with x in numerator and denominator

The video tutorial explains how to solve an equation by replacing F of X with Y, swapping X and Y, and solving for Y. It highlights common student difficulties, such as dealing with variables on both sides of the equation, and demonstrates factoring to simplify the problem. The tutorial also covers understanding the domain and range of functions and their inverses, emphasizing that the domain of the inverse is the range of the original function.

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

What is the range of the inverse function as derived in the text?