Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 7 - Section 7.1 - Radical Expressions and Functions - Exercise Set - Page 511: 29

Answer

d).

Work Step by Step

The domain of the function $f(x)=\sqrt{g(x)}$ can be obtained by solving the inequality $g(x)\geq0$ because the square root function is only defined for non-negative numbers. Hence here the domain: $3x+15\geq0\\3x\geq-15\\x\geq-5$. Thus the correct graph is d).
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