Answer
See below.
Work Step by Step
$g(h(x))=g(\frac{x+4}{3})=2\frac{x+4}{3}-7=\frac{2x+8}{3}-7=\frac{2x+8-21}{3}=\frac{2x-13}{3}$
This function is defined for all real numbers, thus the domain is all real numbers.
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: 31
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