Question

What are the domain and range of

(x)=2(3x)?

Option A: domain: (-[infinity], 0); range: (-[infinity], 0)
Option B: domain: (-[infinity], 0); range: (2, [infinity])
Option C: domain: (0, [infinity]); range: (0, [infinity])
Option D: domain: (0, [infinity]); range: (2, [infinity])

Answer 1

The domain of the function is (0, +∞) and the range is (2, +∞).

Step-by-step explanation:

The given function is f(x) = 2(3x).

The domain of a function is the set of all possible input values. In this case, the function can take any real number as the input, so the domain is (-∞, +∞).

The range of a function is the set of all possible output values. By multiplying the input by 2, the output will also be doubled. So the range of this function is (-∞, +∞).

Therefore, Option A: domain: (-∞, 0); range: (-∞, 0) is incorrect. Option B: domain: (-∞, 0); range: (2, +∞) is also incorrect. Option C: domain: (0, +∞); range: (0, +∞) is incorrect. The correct answer is Option D: domain: (0, +∞); range: (2, +∞).