​ What are the domain and range of the function?

Domain

x  cannot be any value < -5   because we would be taking the root of a negative number which isn't real

So....the domain  is   [-5, infinity )

The range is trickier

As small as the quantity under the radical can be is 0  [  when x  = -5 ]

So  1/2  * 0   =   0

And as x grows larger than -5, the function keeps increasing to infinity

So....the range is  [ 0, infinity )

The first answer is correct