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: 30

Answer

a) $g^{-1}(2)$ = 4 b) $g^{-1}(5)$ = 7 b) $g^{-1}(6)$ = 8

Work Step by Step

The function is one-to-one a) Using the graph, find where g(x) = 2. The coordinate is (4, 2). Therefore $g^{-1}(2)$ = 4 b) Using the graph, find where g(x) = 5. The coordinate is (7, 5). Therefore $g^{-1}(5)$ = 7 c) Using the graph, find where g(x) = 6. The coordinate is (8, 6). Therefore $g^{-1}(6)$ = 8
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