College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 4, Exponential and Logarithmic Functions - Chapter 4 Review - Concept Check: 20

Answer

Domain: $(-\infty,0)\cup (0,\infty)$

Work Step by Step

We need to find the domain of: $k(x)=\ln|x|$ We can't take the log of a negative number (or 0), so: $|x|\gt 0$ $x\gt 0$ or $-x\gt 0$ $x\gt 0$ or $x\lt 0$ In other words, $x$ can be any real number except 0 ($x\neq 0$). Therefore, the domain is: $(-\infty,0)\cup (0,\infty)$.
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