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)
.$
