Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Section 4.4 Logarithmic Functions - 4.4 Assess Your Understanding - Page 321: 46

Answer

$\{x|x\lt 0\ or\ x\gt1 \}$.

Work Step by Step

The domain requirement(s) for the given function is $\frac{x}{x-1}\gt0$ with boundary points $x=0,1$. The "$\gt$" sign implies that the solution will be "outside" the region between the boundary points, thus $x\lt 0\ or\ x\gt1$ that is $\{x|x\lt 0\ or\ x\gt1 \}$.
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