Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - Review Exercises: Chapter 7 - Page 497: 38

Answer

$\{x\in \mathbb{R} | x\neq 2\}$

Work Step by Step

The domain of $h/g$ is the intersection of domains of g and of h, provided that $g(x)\neq 0.$ Both g and h are defined on $\mathbb{R}$ so we find those x for which g(x)=0: $3x-6=0$ $3x=6$ $ x=2\qquad$ ... must be excluded from the domain Domain = $\{x\in \mathbb{R} | x\neq 2\}$
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