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 - Mid-Chapter Check Point - Page 541: 24

Answer

$6\geq x$.

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: $30-5x\geq0\\30\geq5x\\6\geq x$.
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