If $f ( x ) = x + 2$ and $g ( x ) = 3 x ^ { 2 } + 7 x$, find $( g \circ f ) ( x )$
A) $( g \circ f ) ( x ) = 3 x ^ { 2 } + 19 x + 26$
B) $( g \circ f ) ( x ) = 3 x ^ { 2 } + 7 x + 2$
C) $( g \circ f ) ( x ) = 3 x ^ { 2 } + 19 x + 2$
D) $( g \circ f ) ( x ) = 3 x ^ { 2 } + 7 x + 26$

Question

Quizplus · Accepted Answer

To find $(g \circ f)(x)$, substitute $f(x) = x + 2$ into $g(x)$, resulting in $g(f(x)) = 3(x + 2)^2 + 7(x + 2)$, which simplifies to $3x^2 + 19x + 26$.

If f(x)=x+2f ( x ) = x + 2f(x)=x+2 And g(x)=3x2+7xg ( x ) = 3 x ^ { 2 } + 7 xg(x)=3x2+7x

If $f ( x ) = x + 2$ And $g ( x ) = 3 x ^ { 2 } + 7 x$