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

Multiple Choice

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

A) $g ( x ) = \sqrt { x } ; f ( x ) = \frac { 1 } { x - 2 }$

B) $f ( x ) = x - 2 ; g ( x ) = \frac { 1 } { \sqrt { x } }$

C) $f ( x ) = \frac { 1 } { x - 2 } ; g ( x ) = \sqrt { x }$

D) $f ( x ) = \frac { 1 } { x - 2 } ; g ( x ) = \frac { 1 } { \sqrt { x } }$