domain of square root What is the domain and range of square $\sqrt{3-t} - \sqrt{2+t}$? I consider the domain the two separate domain of each square root.
My domain is $[-2,3]$. Is it right? Are there methods on how to figure out the domain and range in this kind of problem?

You are right about the domain. As to the range, use the fact that as $t$ travels from $-2$ to $3$, $\sqrt{3-t}$ is decreasing, and $\sqrt{2+t}$ is increasing, so the difference is decreasing.
