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

question 55

Multiple Choice

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) \(f ( x ) = x ^ { 8 } , g ( x ) = \frac { x ^ { 3 } + 5 } { 5 - x ^ { 3 } }\)