Computing the composition of two functions and computing the inverse of a function are two of the most important topics in calculus. These algebraic procedures are important in theory and in practice and are relevant in the study of calculus.

Chooseoneof the two options:

1. Create and post two functions,f(x) andg(x), of the types we have considered so far in this course. Make the functions challenging, but not beyond what is covered in a general textbook; avoid very simple examples.
2. Create and post a function,f(x), again, of a type that is generally considered.