College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 6 - Section 6.2 - One-to-One Functions; Inverse Functions - 6.2 Assess Your Understanding - Page 420: 33

Answer

Inverse: $\left\{(1, -2), (2, -3), (0, -10), (9, 1), (4, 2)\right\}$ Domain: $\left\{0, 1, 2, 4, 9\right\}$ Range: $\left\{-10, -2, -3, 1, 2\right\}$

Work Step by Step

Recall: The inverse of a function interchanges the domain and range of the given function. The domain of the original function becomes the range of its inverse while the range of the original function becomes the domain of its inverse. Thus, if $(a, b)$ is in a given function, then its inverse contains $(b, a)$. Hence, the inverse of the given function is: $\left\{(1, -2), (2, -3), (0, -10), (9, 1), (4, 2)\right\}$ The inverse has: Domain: $\left\{0, 1, 2, 4, 9\right\}$ Range: $\left\{-10, -2, -3, 1, 2\right\}$
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