Final answer:
The domain of the function f(x) = √x-5 is x ≥ 5.
Step-by-step explanation:
The domain of a function is the set of all possible values of x for which the function is defined. In this case, we have f(x) = √x-5. The square root function is defined for non-negative real numbers. So, the expression inside the square root, x-5, must be non-negative. We set x-5 ≥ 0 and solve for x:
x-5 ≥ 0
x ≥ 5