What are the domain and range of f (x) = 2 (3x)?

The domain of a function is defined as the input values for which the function is defined. The range is defined as the output values.

Answer: The domain and the range of the function f (x) = 2 (3x) is ( - ∞, ∞).

Let's find the domain and range of the function.

Explanation:

f (x) = y is the range of the function.

Given, f (x) = 2 (3x)

⇒ f (x) = 6x

The function f (x) is defined for all real numbers. So, the set of real numbers is the domain of this function.

Therefore, the range of the function is also not restricted. The set of real numbers is the range of this function.

⇒ f ( x ) =  {6x : x ∈ R } ∈ R

Thus, the domain and the range of the function f (x) = 2 (3x) is (- ∞, ∞).