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: 28


See below.

Work Step by Step

$f(g(x))=f(2x-7)=3(2x-7)^{-1}=\frac{3}{2x-7}$ The denominator of this function cannot be $0$, thus $x\ne3.5$, thus the domain is all real numbers apart from $x=3.5$.
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