# Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 25

(a) $f^{-1}(7)=2$ (b) $f(-1)=3$

#### Work Step by Step

(a) We are given: $f(2)=7$. We know that the inverse of a one-to-one function has the $x$ and $y$ values switched, so: $f^{-1}(7)=2$. (b) We are given: $f^{-1}(3)=-1$. We know that the inverse of a one-to-one function has the $x$ and $y$ values switched, so: $f(-1)=3$

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