Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 9 - Inequalities and Problem Solving - Review Exercises: Chapter 9: 28

Answer

$[2,\infty)$

Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given function, $ f(x)=\sqrt{5x-10} ,$ are all the values of $x$ for which the radicand is greater than or equal to $0.$ Express the answer in the interval notation. $\bf{\text{Solution Details:}}$ Since the radicand should be greater than or equal to zero, then \begin{array}{l}\require{cancel} 5x-10\ge0 \\\\ 5x\ge10 \\\\ x\ge\dfrac{10}{5} \\\\ x\ge2 .\end{array} Hence, the domain is $ [2,\infty) .$
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