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

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$H ( x ) = \left| 4 - 3 x ^ { 2 } \right|$$

A) $f ( x ) = 4 - 3 x ^ { 2 } ; g ( x ) = | x |$
B) $f ( x ) = x ^ { 2 } ; g ( x ) = 4 - 3 | x |$
C) $f ( x ) = 4 - 3 | x | ; g ( x ) = x ^ { 2 }$
D) $f ( x ) = | x | ; g ( x ) = 4 - 3 x ^ { 2 }$