College Algebra (10th Edition)

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

Chapter 5 - Section 5.2 - Properties of Rational Functions - 5.2 Assess Your Understanding: 19

Answer

All real numbers; $x \ne -\frac{1}{2}, 3$

Work Step by Step

The domain of the function is all real numbers, except for when the denominator is 0. Thus, we let the denominator equal 0: $$ 2x^2 -5x -3 = 0 \\ (2x+1)(x-3)=0\\ x = -\frac{1}{2}, 3\\ $$ Domain: All real numbers; $x \ne -\frac{1}{2}, 3$
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