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: 29


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 $x=0$.
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