Consider the function h as defined. Find functions f and g so that (f ∘ g)(x) = h(x).
-$$h ( x ) = ( - 6 x + 18 ) ^ { 2 }$$
A) $f ( x ) = - 6 x + 18 , g ( x ) = x ^ { 2 }$
B) $f ( x ) = x ^ { 2 } , g ( x ) = - 6 x + 18$
C) $f ( x ) = ( - 6 x ) ^ { 2 } , g ( x ) = 18$
D) $f ( x ) = - 6 x ^ { 2 } , g ( x ) = x + 18$

Question

Quizplus · Accepted Answer

The correct decomposition is $f(x) = x^2$ and $g(x) = -6x + 18$, because applying g first gives $-6x + 18$, and then applying f to this result squares it, matching $h(x)$.

Consider the Function H as Defined h(x)=(−6x+18)2h ( x ) = ( - 6 x + 18 ) ^ { 2 }h(x)=(−6x+18)2

Consider the Function H as Defined $h ( x ) = ( - 6 x + 18 ) ^ { 2 }$