Find f(x) and g(x) such that h(x) = $(f \circ g)(x)$.
-$$h ( x ) = 6 ( 3 x + 8 ) ^ { 2 } - 9$$
A) $f ( x ) = ( 6 x - 9 ) ^ { 2 } , g ( x ) = 3 x + 8$
B) $f ( x ) = 6 x ^ { 2 } - 9 , g ( x ) = ( 3 x + 8 ) ^ { 2 }$
C) $f ( x ) = 3 x + 8 , g ( x ) = 6 x ^ { 2 } - 9$
D) $f ( x ) = 6 x ^ { 2 } - 9 , g ( x ) = 3 x + 8$

Question

Quizplus · Accepted Answer

The correct composition is $f(g(x))$, where $g(x) = 3x + 8$ first transforms $x$, and then $f(x) = 6x^2 - 9$ is applied to the result of $g(x)$. This matches the given function $h(x)$.

Find F(x) and G(x) Such That H(x) = (f∘g)(x)(f \circ g)(x)(f∘g)(x)

Find F(x) and G(x) Such That H(x) = $(f \circ g)(x)$