Answer
$(-∞,-3)∪(-3,5)∪(5,∞)$
Work Step by Step
Making $x=−3,5$ results in an undefined function, so those values are excluded from the domain.
$g(x)=\frac{3}{x^2-2x-15}$
$g(x)=\frac{3}{(x+3)(x-5)}$
$(-∞,-3)∪(-3,5)∪(5,∞)$
College Algebra (6th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-32178-228-3
ISBN 13:
978-0-32178-228-1
Chapter 2 - Functions and Graphs - Exercise Set 2.6 - Page 297: 7
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