For the Given Functions $f(x)$ And $g(x)$ , Find $(f \cdot g)(x)$ Or $\left(\frac{f}{g}\right)(x)$

Multiple Choice

For the given functions $f(x)$ and $g(x)$ , find $(f \cdot g) (x)$ or $\left(\frac{f}{g}\right) (x)$ as indicated.
- $f(x) =4 x^{2}+2 x+4, g(x) =x^{2}-4 x+5$
Find $(f \cdot g) (x)$ .

A) $4 x^{4}-16 x^{3}+12 x^{2}-6 x+20$
B) $4 x^{4}-16 x^{3}+16 x^{2}-6 x+20$
C) $4 x^{4}-14 x^{3}+16 x^{2}-6 x+20$
D) $4 x^{4}-14 x^{3}+12 x^{2}-6 x+20$