For the given functions f(x) and g(x), perform the indicated operation.
-$$f ( x ) = x ^ { 3 } - 9 x - 27 , g ( x ) = 3 x ^ { 3 } + x ^ { 2 } + 5 x + 13$$
Find $f ( x ) + g ( x )$.
A) $4 x ^ { 3 } - x ^ { 2 } - 4 x + 14$
B) $3 x ^ { 3 } + x ^ { 2 } - 4 x - 14$
C) $4 x ^ { 3 } + x ^ { 2 } - 14 x - 40$
D) $4 x ^ { 3 } + x ^ { 2 } - 4 x - 14$

Question

Quizplus · Accepted Answer

To add two functions, we simply add their corresponding terms. Therefore, 
\begin{align*}
f(x)+g(x)&=(x^3-9x-27)+(3x^3+x^2+5x+13)\
&=4x^3+x^2-4x-14\
\end{align*}
Thus, the answer is D.

For the Given Functions F(x) and G(x), Perform the Indicated f(x)=x3−9x−27,g(x)=3x3+x2+5x+13f ( x ) = x ^ { 3 } - 9 x - 27 , g ( x ) = 3 x ^ { 3 } + x ^ { 2 } + 5 x + 13f(x)=x3−9x−27,g(x)=3x3+x2+5x+13

For the Given Functions F(x) and G(x), Perform the Indicated $f ( x ) = x ^ { 3 } - 9 x - 27 , g ( x ) = 3 x ^ { 3 } + x ^ { 2 } + 5 x + 13$