The given function is f(x) = 2(3x) = 6x.
The domain of the function is all real numbers since there are no restrictions on the input x. Therefore, the correct answer is:
Domain: (-∞, ∞)
To find the range, we can consider the fact that the function is a linear function with a positive slope of 6. This means that the output values increase as the input values increase.
The lowest possible output value occurs when x = 0, which gives f(0) = 0. As x increases, the output values increase without bound. Therefore, the range of the function is:
Range: (0, ∞)
So, the correct answer is:
Domain: (-∞, ∞)
Range: (0, ∞)