The correct domain and range for the function y = √(x-6) are Domain: x ≥ 6, and Range: y ≥ 0, as the function is defined for non-negative arguments and results in non-negative values.
The student's question involves finding the domain and range of the function y = √(x-6). The domain of a function consists of all the values that x can take for which the function is defined, and the range comprises all the possible values of y.
In this case, since the square root function is only defined for non-negative arguments, the domain is x ≥ 6. The result of a square root is always non-negative, so the range of the function is y ≥ 0. Therefore, the correct answer is a) Domain: x ≥ 6, Range: y ≥ 0.