College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 2, Functions - Section 2.8 - One-to-One Functions and their Inverses - 2.8 Exercises - Page 262: 26

Answer

(a) $f^{-1}(18)=5$ (b) $f(2)=4$

Work Step by Step

(a) We are given: $f(5)=18$. We know that the inverse of a one-to-one function has the $x$ and $y$ values switched, so: $f^{-1}(18)=5$. (b) We are given: $f^{-1}(4)=2$. We know that the inverse of a one-to-one function has the $x$ and $y$ values switched, so: $f(2)=4$.
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