For the given functions f and g, find the requested composite function.
-$f ( x ) = 4 x ^ { 2 } + 6 x + 3 , \quad g ( x ) = 6 x - 7 ; \quad$ Find $( g \circ f ) ( x )$
A) $4 x ^ { 2 } + 36 x + 11$
B) $24 x ^ { 2 } + 36 x + 25$
C) $4 x ^ { 2 } + 6 x - 4$
D) $24 x ^ { 2 } + 36 x + 11$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, substitute $f(x)$ into $g(x)$: $g(f(x)) = 6(4x^2 + 6x + 3) - 7$, which simplifies to $24x^2 + 36x + 18 - 7 = 24x^2 + 36x + 11$.

For the Given Functions F and G, Find the Requested f(x)=4x2+6x+3,g(x)=6x−7;f ( x ) = 4 x ^ { 2 } + 6 x + 3 , \quad g ( x ) = 6 x - 7 ; \quadf(x)=4x2+6x+3,g(x)=6x−7;

For the Given Functions F and G, Find the Requested $f ( x ) = 4 x ^ { 2 } + 6 x + 3 , \quad g ( x ) = 6 x - 7 ; \quad$