Question

If f(x)= 3x2 and g(x) = x+2, find (f.g)(x).

Answer 1

Answer:

A

Step-by-step explanation:

We are given the two functions:

$f(x) = 3x^2 \text{ and } g(x) = x+2$

And we want to find:

$( f\cdot g)(x)$

Recall that this is equivalent to:

$\displaystyle (f \cdot g)(x) = f(x) \cdot g(x)$

Substitute and evaluate:

$\displaystyle \begin{aligned} (f\cdot g)(x) &= (3x^2)(x+2) \\ \\ &= 3x^2(x) + 3x^2(2) \\ \\ &= 3x^3 + 6x^2 \end{aligned}$

In conclusion, our answer is A.