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Find F(x) and G(x) Such That H(x) = (fg)(x)(f \circ g)(x)

Question 4

Multiple Choice

Find f(x) and g(x) such that h(x) = (fg) (x) (f \circ g) (x) .
- h(x) =x53x5+2h ( x ) = \frac { x ^ { 5 } - 3 } { x ^ { 5 } + 2 }


A) f(x) =x5+2,g(x) =x53f ( x ) = x ^ { 5 } + 2 , g ( x ) = x ^ { 5 } - 3
B) f(x) =x5,g(x) =x3x+2f ( x ) = x ^ { 5 } , g ( x ) = \frac { x - 3 } { x + 2 }
C) f(x) =1x5+2,g(x) =x53f ( x ) = \frac { 1 } { x ^ { 5 } + 2 } , g ( x ) = x ^ { 5 } - 3
D) f(x) =x3x+2,g(x) =x5f ( x ) = \frac { x - 3 } { x + 2 } , g ( x ) = x ^ { 5 }

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