Find functions f and g so that h(x) $$h ( x ) = ( f \circ g ) ( x )$$
-$$h ( x ) = ( 5 x + 9 ) ^ { 2 }$$
A) $f ( x ) = x ^ { 2 } , g ( x ) = 5 x + 9$
B) $f ( x ) = 5 x + 9 , g ( x ) = x ^ { 2 }$
C) $f ( x ) = ( 5 x ) ^ { 2 } , g ( x ) = 9$
D) $f ( x ) = 5 x ^ { 2 } , g ( x ) = x + 9$

Question

Quizplus · Accepted Answer

The correct choice is A because $f(g(x))$ means that $g(x)$ is applied first, which is $5x + 9$, and then $f(x) = x^2$ is applied to the result, matching the given $h(x) = (5x + 9)^2$.

Find Functions F and G So That H(x) h(x)=(f∘g)(x)h ( x ) = ( f \circ g ) ( x )h(x)=(f∘g)(x)

Find Functions F and G So That H(x) $h ( x ) = ( f \circ g ) ( x )$