For the Given Functions F(x) and G(x), Find F(x) ÷ $$f ( x ) = ( x - 6 ) , g ( x ) = \frac { 2 x ^ { 2 } - 6 x - 36 } { x ^ { 2 } - 9 x + 18 }$$

Multiple Choice

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

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

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

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

D) $\frac { ( x + 6 ) ( x - 3 ) } { 2 x - 6 }$