Question

Can someone please help?

Answer 1

`f(x)* g(x)=24x^3 -12x^2`

Explanation:

The given functions are

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

and

`g(x)=2x`

`f(x)* g(x)=(12x^2-6x)* 2x`

We expand using the distributive property to obtain;

`f(x)* g(x)=12x^2* 2x-6x* 2x`

This simplifies to;

`f(x)* g(x)=24x^3 -12x^2`

The correct answer is C

Answer 2

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.