Consider the function h as defined. Find functions f and g so tha $( f \circ g ) ( x ) = h ( x )$
-$$h ( x ) = ( - 6 x + 9 ) ^ { 2 }$$
A) $f ( x ) = ( - 6 x ) ^ { 2 } , g ( x ) = 9$
B) $f ( x ) = - 6 x ^ { 2 } , g ( x ) = x + 9$
C) $f ( x ) = x ^ { 2 } , g ( x ) = - 6 x + 9$
D) $f ( x ) = - 6 x + 9 , g ( x ) = x ^ { 2 }$

Question

Quizplus · Accepted Answer

The correct choice is C because $f(x) = x^2$ and $g(x) = -6x + 9$ satisfy the composition requirement $(f \circ g)(x) = f(g(x)) = f(-6x + 9) = (-6x + 9)^2 = h(x)$.

Consider the Function H as Defined (f∘g)(x)=h(x)( f \circ g ) ( x ) = h ( x )(f∘g)(x)=h(x)

Consider the Function H as Defined $( f \circ g ) ( x ) = h ( x )$