How to find the inverse of a rational function

The video tutorial explains how to find the inverse of a function through a series of steps. It begins by introducing the concept of inverses and the importance of function notation. The process involves four main steps: swapping F of X for Y, swapping X and Y, solving for Y, and finally swapping Y for F inverse of X. These steps are explained in detail to help understand the algebraic manipulation required to find the inverse of a function.

Describe the algebraic steps taken to solve for Y after swapping X and Y.

What is the final expression for the inverse function as stated in the text?