Since the domain of the function x^(1/2) is [ 0, ∞+) and the domain of the function Log base x of a constant a can not include 0 and can not include negative values or zero for the operation within parentheses (x-3), all numbers must be greater than 3, we can say that the domain of the complete function is the intersection of the domains, which is (3, ∞+) .
Final Answer: (3, ∞+).