Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Appendix A - Review - A.1 Algebra Essentials - A.1 Assess Your Understanding - Page A11: 70

Answer

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Work Step by Step

The domain of a rational expression is the whole set of real numbers, excluding the numbers that make the denominator equal to zero (since division of zero is not allowed). Here, we exclude $x$ for which the denominator is equal to zero. To find the numbers that will make the denominator zero, set the denominator equal to zero then solve the equation: $ x^{2}+9=0\qquad$ Subtract $9$ from each side of the equation to obtain: $x^{2}=-9$ Note that no real number when squared gives $-9$. Thus, number will be excluded from the domain.
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