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)
.$
