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: 12

Answer

$(-\infty, +\infty); x \ne \frac{2}{3}$

Work Step by Step

Recall that for a function and its inverse, the domain and the range are switched. The range for the original function is: $(-\infty, +\infty); y \ne \frac{2}{3}$. Thus, the domain for the inverse function is this range, namely: $(-\infty, +\infty); x \ne \frac{2}{3}$
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