Find Functions F and G So That F $f \circ g = H$

question 30

Multiple Choice

Find functions f and g so that f $f \circ g = H$
- $$H ( x ) = \left( 5 - 2 x ^ { 3 } \right) ^ { 2 }$$

• A) \(f ( x ) = 5 - 2 x ^ { 3 } ; g ( x ) = x ^ { 2 }\)
• B) \(f ( x ) = x ^ { 2 } ; g ( x ) = 5 - 2 x ^ { 3 }\)
• C) \(f ( x ) = ( 5 - 2 x ) ^ { 3 } ; g ( x ) = x ^ { 2 }\)
• D) \(f ( x ) = x ^ { 3 } ; g ( x ) = ( 5 - 2 x ) ^ { 2 }\)