Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 5 - Exponential and Logarithmic Functions - 5.2 One-to-One Functions; Inverse Functions - 5.2 Assess Your Understanding - Page 266: 31

Answer

The domain of the inverse function will be: $\{5,9,2,11,-5\}$. The range of the inverse function will be: $\{-3,-2,-1,0,1\}$. The inverse function will create the following ordered pairs: $(-3,5),(-2,9),(-1,2),(0,11),(1,-5).$

Work Step by Step

In case of a one-to-one function, the inverse’s domain will be the original function’s range and the inverse’s range will be the original function’s range. The domain of the inverse function will be: $\{5,9,2,11,-5\}$. The range of the inverse function will be: $\{-3,-2,-1,0,1\}$. The inverse function will create the following ordered pairs: $(-3,5),(-2,9),(-1,2),(0,11),(1,-5).$
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