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Express the Given Function as a Composite of Functions F g(x)=xg ( x ) = \sqrt { x }

Question 110

Multiple Choice

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


A) f(x) =1x2f ( x ) = \frac { 1 } { x ^ { 2 } }
B) f(x) =x2f ( x ) = x ^ { 2 }
C) f(x) =xf ( x ) = x
D) f(x) =1xf ( x ) = \frac { 1 } { x }

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