Final answer:
The domain of f(x) = √(x-11) is x ≥ 11 and the range is y ≥ 0.
Step-by-step explanation:
The domain of a function is the set of all possible input values, or x-values, for which the function is defined. In this case, the function is f(x) = √(x-11), which represents the square root of (x-11). Since the square root is defined for any non-negative real number, the domain of this function is all real numbers greater than or equal to 11. So, the domain is x ≥ 11.
The range of a function is the set of all possible output values, or y-values, that the function can take. For the square root function, the output will always be a non-negative real number. So, the range of this function is all real numbers greater than or equal to 0. Therefore, the range is y ≥ 0.