Algebra 2 (1st Edition)

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

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.
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