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Express the Given Function as a Composite of Functions F f(x)=x5f ( x ) = \sqrt { x - 5 }

Question 8

Multiple Choice

Express the given function as a composite of functions f and g such that y = f(g(x) ) .
-Let f(x) =x5f ( x ) = \sqrt { x - 5 } . Find a function y=g(x) y = g ( x ) so that (fg) (x) =x25( f \circ g ) ( x ) = \sqrt { x ^ { 2 } - 5 } .


A) g(x) =x2+5g ( x ) = x ^ { 2 } + 5
B) g(x) =2xg ( x ) = 2 x
C) g(x) =x2g ( x ) = x ^ { 2 }
D) g(x) =x25g ( x ) = x ^ { 2 } - 5

Correct Answer:

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