Solve the Problem $f ( x ) = \frac { 1 } { x }$

Multiple Choice

Solve the problem.
-Given $f ( x ) = \frac { 1 } { x }$ and $\left( \frac { f } { g } \right) ( x ) = \frac { x - 4 } { x ^ { 2 } - 6 x }$ , find the function $g$ .

A) $g ( x ) = \frac { x - 6 } { x - 4 }$
B) $g ( x ) = \frac { x + 6 } { x + 4 }$
C) $g ( x ) = \frac { x - 4 } { x - 6 }$
D) $g ( x ) = \frac { x + 4 } { x + 6 }$