Answer
See below
Work Step by Step
Demonstrate $f(g(x))$ is true.
Obtain $f(g(x))=f(\frac{x+7}{4})^{1/3}=4((\frac{x+7}{4})^{1/3})^3-7=4\frac{x+4}{4}-7=x+7-7=x$
Since $f(g(x))=x$, the two functions have been verified to be inverse functions.
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 7 Exponential and Logarithmic Functions - 7.2 Graph Exponential Decay Functions - 7.2 Exercises - Mixed Review - Page 491: 48
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