College Algebra (6th Edition)

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: 8

Answer

$(-∞,-4)∪(-4,3)∪(3,∞)$

Work Step by Step

Making $x=−4,3$ results in an undefined function, so those values are excluded from the domain. $g(x)=\frac{2}{x^2+x-12}$ $g(x)=\frac{2}{(x+4)(x-3)}$ $(-∞,-4)∪(-4,3)∪(3,∞)$
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