Question

Can someone please help?

Answer 1

Answer: OPTION C

Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.

Therefore, you have:

$f(x)*g(x)=(12x^{2}-6x)(2x)$

Now, you must apply the distributive property, therefore, you obtain:

$f(x)*g(x)=24x^{3}-12x^{2}$

As you can see, the answer is the Option C.

Answer 2

Answer:

$f(x)\times g(x)=24x^3 -12x^2$

Step-by-step explanation:

The given functions are

$f(x)=12x^2-6x$

and

$g(x)=2x$

$f(x)\times g(x)=(12x^2-6x)\times 2x$

We expand using the distributive property to obtain;

$f(x)\times g(x)=12x^2\times 2x-6x\times 2x$

This simplifies to;

$f(x)\times g(x)=24x^3 -12x^2$

The correct answer is C