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 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 818: 80

Answer

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

Work Step by Step

The domain of a function defined over real numbers is the set of numbers for which $f(x) $ can be calculated. $f(x)$ can be calculated for all real x, except the ones producing a zero in the denominator. We need to exclude all x for which $x+2=0$, that is, $x=-2.$ Domain = $\{x\in \mathbb{R}|x\neq-2\}$
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