Express the Given Function as a Composite of Functions F $f ( x ) = \frac { x } { x - 4 }$

Multiple Choice

Express the given function as a composite of functions f and g such that y = f(g(x) ) .
-Let $f ( x ) = \frac { x } { x - 4 }$ . Find a function $y = g ( x )$ so that $( f \circ g ) ( x ) = x$ .

A) $g ( x ) = \frac { x - 4 } { 4 }$
B) $g ( x ) = x ( x - 4 )$
C) $g ( x ) = \frac { 1 } { x - 4 }$
D) $g ( x ) = \frac { 4 x } { x - 1 }$