Answer
See below.
Work Step by Step
$f(x)\cdot g(x)=4x^{2/3}\cdot5x^{1/2}=4\cdot5\cdot x^{2/3+1/2}=20x^{7/6}$
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: 12
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