Question

i need to know how to solve this and the answer dor it please and thank you

Answer 1

We need to remember that:

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

Then we have that:

$\begin{gathered} (f-g)(x)=(3x^3+4x^2-6x-7)-(2x-4) \\ =3x^3+4x^2-6x-7-2x+4 \\ =3x^3+4x^2-8x-3 \end{gathered}$

Therefore:

$(f-g)(x)=3x^3+4x^2-8x-3$

and the answer is C.