Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - 2.2 Domain and Range - Exercises and Problems for Section 2.2 - Exercises and Problems - Page 82: 15

Answer

All real numbers except the numbers between -2 and 2.

Work Step by Step

To find domain restrictions, we look for any numbers that make the denominator of a fraction 0 or the expression under the square root sign negative. Thus, we find: $$ x^2=4 \\ x=\pm2$$
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