MATHEMATICS · Multi-part · AP · AP Precalculus · Exponential and Logarithmic Functions · Exponential and Logarithmic Functions
Problem
Let f:[1,∞)→[0,∞) be defined by f(x)=(x−1)2.
(a) Show that f is one-one on its domain.
(b) Determine f−1(y) in simplest form.
(c) Using your result from part (b), find f−1(9).