Find f(x) and g(x) such that h(x) = (f g)(x).
-$h ( x ) = \left( \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } } \right) ^ { 8 }$
A) $f ( x ) = \left( x ^ { 3 } + 5 \right) ^ { 8 } , g ( x ) = 5 - x ^ { 3 }$
B) $f ( x ) = \frac { 1 } { x ^ { 8 } } , g ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } }$
C) $f ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } } , g ( x ) = x ^ { 8 }$
D) $f ( x ) = x ^ { 8 } , g ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } }$

Question

Quizplus · Accepted Answer

The function h(x) can be expressed as h(x) = (f(x))^8 where f(x) = (x^3 + 5) / (5 - x^3). Therefore, g(x) = x^8.

Find F(x) and G(x) Such That H(x) = (F G)(x) h(x)=(x3+55−x3)8h ( x ) = \left( \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } } \right) ^ { 8 }h(x)=(5−x3x3+5​)8

Find F(x) and G(x) Such That H(x) = (F G)(x) $h ( x ) = \left( \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } } \right) ^ { 8 }$