Let f be the function given by f(x) = 3e^2x and let g be the function given by g(x) = 6x³. Find (f × g)(x).

We will use the concept of functions in order to find the required function.

Answer: (f × g) (x) = 18 e^2x x³, if the function is given by f(x) = 3e^2x and g(x) = 6x³.

Let us see how we will use the concept of functions.

Explanation:

We know that,

(f + g) (x) = f(x) + g(x)

(f - g) (x) = f(x) - g(x)

(f × g) (x) = f(x) × g(x)

(f / g) (x) = f(x) / g(x)

Now, we have to calculate (f × g)(x).

Hence, using the above concept,

(f × g) (x) = f(x) × g(x)

(f × g) (x) = 3e^2x × 6x³

Hence, (f × g) (x) = 18 e^2x x³.