Find $( f + g ) ( x )$.
$$\begin{array} { l }
f ( x ) = - 8 x ^ { 2 } + 5 x - 2 \
g ( x ) = 4 x ^ { 2 } + 7 x + 4
\end{array}$$
A) $( f + g ) ( x ) = - 12 x ^ { 4 } - 2 x ^ { 2 } - 6$
B) $( f + g ) ( x ) = - 4 x ^ { 4 } + 12 x ^ { 2 } + 2$
C) $( f + g ) ( x ) = - 12 x ^ { 2 } - 2 x - 6$
D) $( f + g ) ( x ) = - 4 x ^ { 2 } + 12 x + 2$
E) $( f + g ) ( x ) = 4 x ^ { 2 } - 12 x - 2$

Question

Find $( f + g ) ( x )$.
$$\begin{array} { l } 
f ( x ) = - 8 x ^ { 2 } + 5 x - 2 \
g ( x ) = 4 x ^ { 2 } + 7 x + 4
\end{array}$$
A) $( f + g ) ( x ) = - 12 x ^ { 4 } - 2 x ^ { 2 } - 6$
B) $( f + g ) ( x ) = - 4 x ^ { 4 } + 12 x ^ { 2 } + 2$
C) $( f + g ) ( x ) = - 12 x ^ { 2 } - 2 x - 6$
D) $( f + g ) ( x ) = - 4 x ^ { 2 } + 12 x + 2$
E) $( f + g ) ( x ) = 4 x ^ { 2 } - 12 x - 2$

Quizplus · Accepted Answer

To find $( f + g ) ( x )$, add the corresponding coefficients of $f(x)$ and $g(x)$: $(-8x^2 + 5x - 2) + (4x^2 + 7x + 4) = -4x^2 + 12x + 2$.

Find (f+g)(x)( f + g ) ( x )(f+g)(x) f(x)=−8x2+5x−2g(x)=4x2+7x+4\begin{array} { l } f ( x ) = - 8 x ^ { 2 } + 5 x - 2 \\g ( x ) = 4 x ^ { 2 } + 7 x + 4\end{array}f(x)=−8x2+5x−2g(x)=4x2+7x+4​

Find $( f + g ) ( x )$ $\begin{array} { l } f ( x ) = - 8 x ^ { 2 } + 5 x - 2 \\g ( x ) = 4 x ^ { 2 } + 7 x + 4\end{array}$