Answer
See below.
Work Step by Step
$\frac{f(x)}{g(x)}=\frac{4x^{2/3}}{5x^{1/2}}=\frac{4}{5}\frac{x^{2/3}}{x^{1/2}}=0.8x^{2/3-1/2}=0.8x^{1/6}$
The function is undefined for negative numbers, so the domain is the non-negative 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: 16
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