Answer
Domain: $[0,\infty)$
Range: $[0,\infty)$
Work Step by Step
Since the function has a square root x cannot be negative, therefore the domain will be all the real values of x greater then or equal to 0.
When x is 0 g(0)=0. This is the smallest value for the range. All the other x values are positive extending the range to positive infinity.