Answer
See below.
Work Step by Step
$g(f(x))=g(3x^{-1})=g(\frac{3}{x})=2\frac{3}{x}-7=\frac{6}{x}-7$
The denominator of this function's first term cannot be $0$, thus $x\ne0$. Therefore, the domain is all real numbers apart from $x=0$.
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 6 Rational Exponents and Radical Functions - 6.3 Perform Function Operations and Composition - 6.3 Exercises - Skill Practice - Page 432: 29
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