Answer
$(1,4]$
Work Step by Step
Step 1. Graph the function $f(x)=\frac{x-4}{x-1}$ as shown in the figure.
Step 2. The zeros of the function can be identified as $x=4$
Step 3. We can identify the regions where $f(x)\leq0$ as $(1,4]$
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set - Page 414: 89
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