Find Functions F and G So That F $f \circ g = H$

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$H ( x ) = \frac { 1 } { x ^ { 2 } - 6 }$$

A) $f ( x ) = \frac { 1 } { x } ; g ( x ) = \frac { 1 } { x ^ { 2 } } - 9$
B) $f ( x ) = \frac { 1 } { x ^ { 2 } } - 9 ; g ( x ) = \frac { 1 } { x }$
C) $f ( x ) = x ^ { 2 } - 6 ; g ( x ) = \frac { 1 } { x }$
D) $f ( x ) = \frac { 1 } { x } , g ( x ) = x ^ { 2 } - 6$