Final answer:
The domain of the function is all real numbers except x = 5, and the range of the function is all real numbers except 0.
Step-by-step explanation:
The domain of a function is the set of all possible input values (x-values) for which the function is defined. In this case, the function is f(x) = 1/√(5-x). The function is defined for all real numbers except for those values of x that make the denominator equal to zero. So, the domain of the function is all real numbers except x = 5.
The range of a function is the set of all possible output values (y-values) that the function can produce. For this function, the output values depend on the values of the input x. When x approaches positive infinity or negative infinity, the function approaches 0. Therefore, the range of the function is all real numbers except 0 (excluding 0).