Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Section 2.8 - One-to-One Functions and Their Inverses - 2.8 Exercises - Page 226: 30

Answer

$a.\quad 4,$ $b.\quad 7,$ $c.\quad 8.$

Work Step by Step

If $g$ has an inverse, and (a,b) is on the graph, this means that $g(a)=b$ and $g^{-1}(b)=a.$ The point $(4,2)$ is on the graph, so $g^{-1}(2)=4$ The point $(7,5)$ is on the graph, so $g^{-1}(5)=7$ The point $(8,6)$ is on the graph, so $g^{-1}(6)=8$
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