Final answer:
The domain of the function is x ≤ 6.
Step-by-step explanation:
The given expression is
√-(6- x)
The domain of a function is the set of all possible input values. In this case, we are dealing with a square root function. Since the square root of a negative number is undefined in real numbers, the expression inside the square root must be non-negative.
So, 6 - x ≥ 0
Solving the inequality for x, we get:
x ≤ 6
Therefore, the domain of the function is x ≤ 6.
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