Consider the function h as defined. Find functions f and g so that (f  g)(x) = h(x).
-$$h ( x ) = ( - 8 x + 9 ) ^ { 9 }$$
A) $f ( x ) = - 8 x ^ { 9 } , g ( x ) = x + 9$
B) $f ( x ) = ( - 8 x ) ^ { 9 } , g ( x ) = 9$
C) $f ( x ) = - 8 x + 9 , g ( x ) = x ^ { 9 }$
D) $f ( x ) = x ^ { 9 } , g ( x ) = - 8 x + 9$

Question

Quizplus · Accepted Answer

The correct choice is D because $f(g(x)) = (g(x))^9 = (-8x + 9)^9$, which matches the given function $h(x)$. Here, $g(x) = -8x + 9$ is first applied, then $f(x) = x^9$ is applied to the result of $g(x)$.

Consider the Function H as Defined h(x)=(−8x+9)9h ( x ) = ( - 8 x + 9 ) ^ { 9 }h(x)=(−8x+9)9

Consider the Function H as Defined $h ( x ) = ( - 8 x + 9 ) ^ { 9 }$