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Given the Following Function h(x)h ( x ) , Find Two Functions

Question 26

Multiple Choice

Given the following function, h(x) h ( x ) , find two functions ff and gg such that (fg) (x) =h(x) ( f \circ g ) ( x ) = h ( x ) .
h(x) =x2113h ( x ) = \sqrt [ 3 ] { x ^ { 2 } - 11 }


A) f(x) =x23,g(x) =11f ( x ) = \sqrt [ 3 ] { x ^ { 2 } } , g ( x ) = - 11
B) f(x) =x23,g(x) =x11f ( x ) = \sqrt [ 3 ] { x ^ { 2 } } , g ( x ) = x - 11
C) f(x) =x3,g(x) =x11f ( x ) = \sqrt [ 3 ] { x } , g ( x ) = x - 11
D) f(x) =x113,g(x) =x2f ( x ) = \sqrt [ 3 ] { x - 11 } , g ( x ) = x ^ { 2 }
E) f(x) =x113,g(x) =x+11f ( x ) = \sqrt [ 3 ] { x - 11 } , \quad g ( x ) = x + 11

Correct Answer:

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