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

Published by Pearson

# Chapter 10 - Exponents and Radicals - 10.1 Radical Expressions and Functions - 10.1 Exercise Set - Page 635: 93

#### Answer

$[6, \infty)$

#### Work Step by Step

$\bf{\text{Solution Outline:}}$ The domain of the given function, $f(x)=\sqrt{x-6} ,$ is the permissible values of $x.$ $\bf{\text{Solution Details:}}$ With an even index (index equals $2$), then the radicand should be a nonnegative number. Hence, \begin{array}{l}\require{cancel} x-6\ge0 \\\\ x\ge6 .\end{array} Hence, the domain is the interval $[6, \infty) .$

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