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Find the domain of the function. f(x)=√(3x-21) The domain is ________

User Grepsedawk
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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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