College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 4 - Section 4.5 - Inequalities involving Quadratic Functions - 4.5 Assess Your Understanding - Page 314: 23

Answer

$(-\infty,-4]\cup[4,\infty)$.

Work Step by Step

The expression under the square root must be non-negative. Thus $x^2-16\geq0\\x^2\geq16\\|x|\geq4$ So the domain is $(-\infty,-4]\cup[4,\infty)$.
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