Find $f \circ g$ . $f ( x ) = - 2 x - 9 \quad g ( x ) = x + 5$
A) $( f \circ g ) ( x ) = - 2 x - 19$
B) $( f \circ g ) ( x ) = - 3 x - 14$
C) $( f \circ g ) ( x ) = - 2 x ^ { 2 } - 19 x - 45$
D) $( f \circ g ) ( x ) = - 3 x - 4$
E) $( f \circ g ) ( x ) = - 2 x - 4$

Question

Quizplus · Accepted Answer

To find $f \circ g$, we substitute $g(x)$ into $f(x)$: $f(g(x)) = f(x + 5) = -2(x + 5) - 9 = -2x - 10 - 9 = -2x - 19$.

Find f∘gf \circ gf∘g f(x)=−2x−9g(x)=x+5f ( x ) = - 2 x - 9 \quad g ( x ) = x + 5f(x)=−2x−9g(x)=x+5

Find $f \circ g$ $f ( x ) = - 2 x - 9 \quad g ( x ) = x + 5$