Final answer:
The domain of the function f(x) = √(3x - 21) is x ≥ 7.
Step-by-step explanation:
The domain of a function is the set of all possible input values for a function. In this case, the function is f(x) = √(3x - 21). To find the domain, we need to determine the values of x that make the expression inside the square root non-negative.
Setting 3x - 21 greater than or equal to zero:
3x - 21 ≥ 0
Adding 21 to both sides:
3x ≥ 21
Dividing both sides by 3:
x ≥ 7
Therefore, the domain of the function f(x) = √(3x - 21) is x ≥ 7.
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