#### Answer

The domain is $[-2,\infty)$
The range is $[0,\infty)$.

#### Work Step by Step

Domain:
$F(X)=\sqrt {5x+10}$
Because the square root of $5x+10$ must be greater than or equal to $0$:
$5x+10\geq0$
$5x\geq-10$
$x\geq-2$
Which makes the domain $[-2,\infty)$.
Which makes the range $[0,\infty)$.