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 10 - Exponents and Radicals - Test: Chapter 10: 7

Answer

$[5,\infty)$

Work Step by Step

The radicand of a radical expression with an even index, such as the given $f(x)=\sqrt{2x-10},$ cannot be a negative number. Hence, \begin{array}{l}\require{cancel} 2x-10\ge0 \\\\ 2x\ge10 \\\\ x\ge\dfrac{10}{2} \\\\ x\ge5 .\end{array} Hence, the domain is the interval $ [5,\infty) .$
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