College Algebra (10th Edition)

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

Chapter 6 - Section 6.2 - One-to-One Functions; Inverse Functions - 6.2 Assess Your Understanding: 3

Answer

$(-\infty, +\infty); x \ne -6, 3$

Work Step by Step

In order to find when the function given exists, we have to find when it is undefined. Thus, we see when the bottom of the fraction is equal to 0: $$x^2 +3x -18 = 0 \\ (x+6)(x-3)=0 \\ x=-6, 3$$ Thus, the domain is: $(-\infty, +\infty); x \ne -6, 3$
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