Finding the Inverse Function of a Composite Function

The video tutorial explains how to calculate the inverse function of H, given that H equals the composition of two functions, F and G. The process involves substituting G into F, rearranging the resulting equation to isolate X, and then factorizing and simplifying the equation. The final step is to express the inverse function of H in terms of X. The tutorial also outlines the marking scheme for the problem, emphasizing the importance of each step in the process.

What are the two functions defined in the text?

How do you express the inverse function of H in relation to X?

What is the first step in substituting the G function into the F function?

What operation is performed to eliminate the fraction in the equation?

What is the result after rearranging the equation to isolate X?

What is the final expression for the inverse function of H?

What were the marks allocated for each step in the process?