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

$[5,\infty)$
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 $[5,\infty) .$