Answer
$[-10,\infty)$
Work Step by Step
The radicand of the given function, $
f(x)=\sqrt{x+10}
,$ cannot be negative. Hence,
\begin{array}{l}\require{cancel}
x+10\ge0
\\\\
x\ge-10
.\end{array}
The domain is the interval $
[-10,\infty)
.$