For the Given Functions F(x) and G(x), Find (F ∙ $\left(\frac{f}{g}\right)(x)$

Multiple Choice

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

A) $5 x ^ { 4 } + 24 x ^ { 3 } + 38 x ^ { 2 } + 24 x + 8$
B) $5 x ^ { 4 } + 20 x ^ { 3 } + 36 x ^ { 2 } + 24 x + 8$
C) $5 x ^ { 4 } + 20 x ^ { 3 } + 38 x ^ { 2 } + 24 x + 8$
D) $5 x ^ { 4 } + 24 x ^ { 3 } + 36 x ^ { 2 } + 24 x + 8$