Answer
The domain is the set of real numbers greater than or equal to zero.
Work Step by Step
The given function is
$y=\sqrt{2x}+7$
The radicand cannot be negative.
So, $2x$ is greater than or equal to zero.
$\Rightarrow 2x\geq 0$
Divide each side by $2$.
$\Rightarrow x\geq 0$
Hence, the domain is the set of real numbers greater than or equal to zero.
