Find f(x) and g(x) so that the given function h(x) = (f ° g)(x).
-$$h ( x ) = \left( 9 - 8 x ^ { 3 } \right) ^ { 2 }$$
A) $f ( x ) = 9 - 8 x ^ { 3 } ; g ( x ) = x ^ { 2 }$
B) $f ( x ) = x ^ { 2 } ; g ( x ) = 9 - 8 x$
C) $f ( x ) = x ^ { 2 } ; g ( x ) = 9 - 8 x ^ { 3 }$
D) $f ( x ) = 9 - 8 x ^ { 2 } ; g ( x ) = x ^ { 3 }$

Question

Quizplus · Accepted Answer

The function $h(x) = (9 - 8x^3)^2$ can be seen as a composition of two functions where $g(x) = 9 - 8x^3$ and $f(x) = x^2$, because $f(g(x)) = f(9 - 8x^3) = (9 - 8x^3)^2$.

Find F(x) and G(x) So That the Given Function H(x) h(x)=(9−8x3)2h ( x ) = \left( 9 - 8 x ^ { 3 } \right) ^ { 2 }h(x)=(9−8x3)2

Find F(x) and G(x) So That the Given Function H(x) $h ( x ) = \left( 9 - 8 x ^ { 3 } \right) ^ { 2 }$