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?

Question

05-09-2022
Advanced Placement (AP)

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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?

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