Intermediate Algebra (12th Edition)

Published by Pearson
ISBN 10: 0321969359
ISBN 13: 978-0-32196-935-4

Chapter 9 - Section 9.1 - Inverse Functions - 9.1 Exercises - Page 589: 10

Answer

one-to-one-function inverse: $\left\{(3,-1)(5,0),(0,5),\left(-\dfrac{1}{2},7\right)\right\} $

Work Step by Step

The given set of ordered pairs, $ \left\{(-1,3)(0,5),(5,0),\left(7,-\dfrac{1}{2}\right)\right\} $, has $y$-values that are unique. Hence, the function with the given set of ordered pairs is a one-to-one function. The inverse is derived by interchanging the $x$- and $y$-coordinates of every ordered pair. Hence, the inverse is $ \left\{(3,-1)(5,0),(0,5),\left(-\dfrac{1}{2},7\right)\right\} $.
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