Answer
$[-4,\ \infty)$
Work Step by Step
We need to find the domain of:
$\sqrt{8+2x}$
We know that we can't take the square root of a negative number, so:
$8+2x\geq 0$
$2x\geq 0-8$
$2x\geq-8$
$x\geq-4$
Therefore, the domain is:
$[-4,\ \infty)$