Final answer:
The domain of the function y = sqrt(x-10) is x > 10.
Step-by-step explanation:
The function y = √(x-10) has a square root, which means the value inside the square root, x-10, must be greater than or equal to zero. This is because the square root of a negative number is not defined in the real number system.
Therefore, we have the inequality x-10 ≥ 0. Solving for x, we add 10 to both sides to get x ≥ 10. The domain of the function is all values of x greater than or equal to 10.
Therefore, the correct answer is a. x > 10.