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Given the Following Function, H( X), Find Two Functions F (fg)(x)=h(x).h(x)=x2113\begin{array} { r } ( f \circ g ) ( x ) = h ( x ) . \\h ( x ) = \sqrt [ 3 ] { x ^ { 2 } - 11 }\end{array}

Question 69

Multiple Choice

Given the following function, h( x) , find two functions f and g such that (fg) (x) =h(x) .h(x) =x2113\begin{array} { r } ( f \circ g ) ( x ) = h ( x ) . \\h ( x ) = \sqrt [ 3 ] { x ^ { 2 } - 11 }\end{array}


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 } , g ( x ) = x + 11

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