Okay so I have the function f(x) = square root of 9-x^2 and g(x) = square root x+3

I must find f of g

This is square root 9 - (square root x+3)^2

Now I must find the domain and range. Here is my attempt:

Simplified I have square root 6-x. Since x cannot be 6 or greater the domain must be (-infinity, 6). The range is (6, +infinity).