#### Answer

$D:[-2,\infty)$
$R:[0,\infty)$

#### Work Step by Step

Domain (D) is the set of all possible input values of the function.
The function $f(x)=\sqrt {(5x+10)}$ is defined for all $x\geq-2$
Domain of $f(x)=\sqrt {(5x+10)}$:
Solution $x\geq-2$
Interval notation:$[-2,\infty)$
Range (R) is the set of all values of the function f(x) as x varies throughout D.
x varies through D:$[-2,\infty)$
Range of $f(x)=\sqrt {(5x+10)}$:
Solution: $f(x)\geq0$
Interval notation:$[0,\infty)$