Find f(x)and g(x)such that h(x)= (f ° g)(x).
-$$h ( x ) = \frac { x ^ { 5 } - 4 } { x ^ { 5 } + 2 }$$
A) $f ( x ) = \frac { x - 4 } { x + 2 } , g ( x ) = x ^ { 5 }$
B) $f ( x ) = x ^ { 5 } + 2 , g ( x ) = x ^ { 5 } - 4$
C) $f ( x ) = x ^ { 5 } , g ( x ) = \frac { x - 4 } { x + 2 }$
D) $f ( x ) = \frac { 1 } { x ^ { 5 } + 2 } , g ( x ) = x ^ { 5 } - 4$

Question

Quizplus · Accepted Answer

The correct choice is A because $f(g(x)) = f(x^5) = \frac{x^5 - 4}{x^5 + 2}$, which matches the given $h(x)$.

Find F(x)and G(x)such That H(x)= (F ° G)(x) h(x)=x5−4x5+2h ( x ) = \frac { x ^ { 5 } - 4 } { x ^ { 5 } + 2 }h(x)=x5+2x5−4​

Find F(x)and G(x)such That H(x)= (F ° G)(x) $h ( x ) = \frac { x ^ { 5 } - 4 } { x ^ { 5 } + 2 }$