Thank you for the opportunity to help you with your question!

the analytical answer with step by step calculations is in the image . The criteria for inverse function is

given f(x) and g(x) f(g(x)) = x and g(f(x)) = x So plz ingnore the reason for F(g(x)) i gave in both (a) and (b) the correct reason is f(g(x)) is not equal to x . Other than that all else is correct

and g(f(x)) = x If you have any questions in this excersise just ask!!!!Please let me know if you need any clarification. I'm always happy to answer your questions.