Solve the Problem $f ( x ) = \sqrt { x - 2 }$

Multiple Choice

Solve the problem.
-Let $f ( x ) = \sqrt { x - 2 }$ . Find a function $y = g ( x )$ so that $( f \circ g ) ( x ) = \sqrt { x ^ { 2 } - 2 }$ .

A) $g ( x ) = x ^ { 2 } + 2$
B) $g ( x ) = 2 x$
C) $g ( x ) = x ^ { 2 }$
D) $g ( x ) = x ^ { 2 } - 2$