Finding the inverse of a rational function

The video tutorial explains how to find the inverse of a function, specifically G of X = X + 3 / 2. The process involves replacing the function with an equation by using Y instead of G of X, swapping the X and Y coordinates, and solving for Y. Finally, the equation is rewritten in function notation to represent the inverse function.

How do you rewrite the equation into function notation after finding the inverse?

What is the final form of the inverse function for G of X?