Chose a nonlinear one to one function, f(x). Show step by step your function f(x) is one to one analytically. (Hint see lesson 4 p 3). If your function f(x) is not one to one pick a different one and repeat step 1.
Find the inverse of your function, f-1(x).
Explain in full sentences why or why not f-1(x) is a function.
Determine (f dot f-1)(x) and (f-1 dot f)(x).
Explain in full sentences why (f dot f-1)(x) and (f-1 dot f)(x ) does or does not equal x?