Precalculus (10th Edition)

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

Chapter 2 - Functions and Their Graphs - 2.1 Functions - 2.1 Assess Your Understanding - Page 57: 55


{x|x \ne 4, x \ne -4}

Work Step by Step

g(x) = x / (x^{2} - 16) If the denominator is zero, the function is undefined. To make the function zero, x^{2} = 16 x = +-\sqrt 16 x=-4, x=4 X cannot then equal these values. Final answer: {x|x \ne 4, x \ne -4}
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