Precalculus (10th Edition)

Published by Pearson
ISBN 10: 0-32197-907-9
ISBN 13: 978-0-32197-907-0

Chapter 8 - Applications of Trigonometric Functions - Chapter Review - Cumulative Review - Page 560: 3

Answer

$(-\infty,-1]U[4,\infty)$

Work Step by Step

Step 1. The domain requirements of the function is $x^2-3x-4\ge0$ or $(x+1)(x-4)\ge0$ Step 2. The boundary points are $x=-1, 4$ which forms intervals $(-\infty,-1],[-1,4],[4,\infty)$ Step 3. Choose test values $x=-2,0,5$ and test the inequality to get $True,\ False,\ True$ Step 4. Thus the solution intervals are $(-\infty,-1]U[4,\infty)$
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