Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 3 - Section 3.1 - Exponential Functions - Exercise Set - Page 451: 99


$x$ can be any real number except $3$; that is,$$x\in \mathbb{R} -\{ 3 \}$$

Work Step by Step

Please note that for any real number $y$, we have $y^2 \ge 0$ and the equality holds if and only if $y=0$. Hence, the inequality $(x-3)^2 > 0$ holds for any real number $x$ except the one satisfying $x-3=0$, $x=0$. Thus,$$x\in \mathbb{R} -\{ 3 \}$$
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