Suppose $\underset{x9}{lim}f(x)=4$ and $\underset{x9}{lim}g(x)=8.$ Use the limit properties to find the given limit$.$

$\underset{x9}{lim}\frac{f(x)g(x)}{4g(x)}$

Apply limit properties to the given limit$.$ Choose the correct answer below.

Imf$(x)$ Img$(x)$

A$.\underset{x9}{lim}\frac{f(x)g(x)}{4g(x)}=\frac{x9,\underset{x9}{lim}4*\underset{x9}{lim}g(x)}{\underset{x9}{lim}}$

B$.\underset{x9}{lim}\frac{f(x)g(x)}{4g(x)}=(\underset{x9}{lim}f(x)\underset{x9}{lim}g(x))-(\underset{x9}{lim}4*\underset{x9}{lim}g(x))$

$\underset{?}{lim}f(x)\underset{?}{lim}g(x)$

C$.\underset{x9}{lim}\frac{4(x)g(x)}{4g(x)}=\frac{x9,x9}{\underset{x9}{lim}4*\underset{x9}{lim}g(x)}$

D$.\underset{x9}{lim}\frac{f(x)g(x)}{4g(x)}=(\underset{x9}{lim}f(x)\underset{x9}{lim}g(x))(\underset{x9}{lim}\frac{1}{4}*\underset{x9}{lim}g(x))$

Find the limit$.$

$\underset{x9}{lim}\frac{f(x)g(x)}{4g(x)}=$

$($Simplify your answer.$)$