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: 15

Answer

See below.

Work Step by Step

$g(x)\cdot g(x)=5x^{1/2}\cdot5x^{1/2}=5\cdot5\cdot x^{1/2+1/2}=25x$ The function is undefined for negative numbers, so the domain is the non-negative real numbers.
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