For the Given Functions $f(x)$ And $g(x)$ , Find $f(x) \div g(x)$
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Multiple Choice

For the given functions $f(x)$ and $g(x)$ , find $f(x) \div g(x)$ .
- $f(x) =\frac{x^{2}-9 x+18}{x^{2}+12 x+36}, g(x) =\frac{x^{2}-6 x+9}{x^{2}-5 x-6}$

A) $\frac{(x-3) ^{3}}{(x+6) ^{2}(x+1) }$

B) $\frac{(x-6) ^{2}(x+1) }{(x+6) ^{2}(x-3) }$

C) $\frac{(x-6) ^{2}(x+1) }{(x+6) ^{2}}$

D) $-\frac{x+1}{x-3}$