We can see in the following graph that indeed, the domain is `[-2,3)uu(3,oo)` (which includes `-2`, but not `3`), and the range is "all values of `f(x)` except `F(x)=0`."

1234567-1-212-1-2xf(x)

Graph of `f(x)=sqrt(x+2)/(x^2-9)`.