Domain is correct. The domain is all x that keeps a non negative number under the square root. That's [4, inf).
The range is all possible values for f(x).
When x = 4, f(x) = 0. As x gets larger, f(x) gets larger and approaches infinity. Graph it to see that the range goes up forever...infinity. Range = [0, inf)
Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)