Find $f \circ g$.
$f ( x ) = - 4 x + 3 \quad g ( x ) = x + 7$
A) $( f \circ g ) ( x ) = - 4 x - 25$
B) $( f \circ g ) ( x ) = - 4 x + 10$
C) $( f \circ g ) ( x ) = - 4 x ^ { 2 } - 25 x + 21$
D) $( f \circ g ) ( x ) = - 5 x - 4$
E) $( f \circ g ) ( x ) = - 5 x + 10$

Question

Quizplus · Accepted Answer

To find $f \circ g$, we substitute $g(x)$ into $f(x)$, resulting in $f(g(x)) = f(x + 7) = -4(x + 7) + 3 = -4x - 28 + 3 = -4x - 25$.

Find f∘gf \circ gf∘g f(x)=−4x+3g(x)=x+7f ( x ) = - 4 x + 3 \quad g ( x ) = x + 7f(x)=−4x+3g(x)=x+7

Find $f \circ g$ $f ( x ) = - 4 x + 3 \quad g ( x ) = x + 7$