This problem is really more a test of understanding the definitions of "domain" and "range". The domain of a function are the legal values one can put into the function and one typically is looking for radicals [can't take a negative square root] or fractions [can't divide by zero] to determine the domain of a function. The range of a function is the set of all values a function is able to produce.

These type of problems are specifically designed for Algebrator, although they can be explored through doyourmath.com by isolating denominators/numerators.  For your problem the domain is infinite, any value of 't' is legal.