For the Given Functions F(x) and G(x), Perform the Indicated $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 3 x - 11 , g ( x ) = x ^ { 3 } + 12 x ^ { 2 } - 7$$

Multiple Choice

For the given functions f(x) and g(x) , perform the indicated operation.
- $$f ( x ) = 5 x ^ { 3 } - 7 x ^ { 2 } + 3 x - 11 , g ( x ) = x ^ { 3 } + 12 x ^ { 2 } - 7$$
Find $f ( x ) - g ( x )$ .

A) $4 x ^ { 3 } - 19 x ^ { 2 } + 3 x - 4$
B) $4 x ^ { 3 } - 19 x ^ { 2 } - 3 x + 4$
C) $6 x ^ { 3 } - 5 x ^ { 2 } + 3 x - 4$
D) $4 x ^ { 3 } + 19 x ^ { 2 } + 3 x + 4$