Solve the Problem $g ( x ) = \sqrt { x }$

Multiple Choice

Solve the problem.
-Let $g ( x ) = \sqrt { x }$ . Find a function $y = f ( x )$ so that $( f \circ g ) ( x ) = | x |$ .

A) $f ( x ) = x ^ { 2 }$
B) $f ( x ) = \frac { 1 } { x ^ { 2 } }$
C) $f ( x ) = x$
D) $f ( x ) = \frac { 1 } { x }$