Answer
The domain is the set of real numbers greater than or equal to $-7$.
Work Step by Step
The given function is
$p(x)=\sqrt{x+7}$
The radicand cannot be negative.
So, $x+7$ is greater than or equal to zero.
$\Rightarrow x+7\geq 0$
Subtract $7$ from each side.
$\Rightarrow x\geq -7$
Hence, the domain is the set of real numbers greater than or equal to $-7$.
