Question

Consider the function F(f)=√3t-9 What is the domain of the function? O Domain: t > 3 O Domain: t ≥-3 O Domain: t≥0 O Domain: t≥3

Answer 1

The domain of the function F(f) = √3t - 9 is t ≥ 27.

Step-by-step explanation:

The domain of a function refers to the set of all possible input values for which the function is defined. In this case, the function F(f) = √3t - 9 involves taking the square root of a quantity. For the square root to be defined, the expression inside the square root should be non-negative. So, we solve the inequality √3t - 9 ≥ 0 to determine the domain.

Adding 9 to both sides of the inequality, we get √3t ≥ 9. Taking the square of both sides, we have 3t ≥ 81. Finally, dividing by 3, we obtain t ≥ 27.

Therefore, the domain of the function F(f) = √3t - 9 is t ≥ 27.

Learn more about Domain of a function