Final answer:
The domain of f(x) = 2(3x) is all real numbers, and the range is (0, infinity).
Step-by-step explanation:
The domain of the function f(x) = 2(3x) is all real numbers since there are no restrictions on the values that x can take.
The range of the function f(x) = 2(3x) is (0, infinity). To find the range, we can observe that as x increases, 3x also increases, and multiplying by 2 will only make the values larger. Therefore, the range starts from 0 and goes up to positive infinity.