1.) We are given:

To find the domain, we set:

Now solve for .

Since the function is increasing as T increases, you will find the lower limit of the range by evaluating the function at the smallest value of T and the upper range is unbounded.

Once we get this problem done and understood, I will move on the the next. I like to take them one at a time, and also solving this one will help you with the next one.