Answer
$221$
Work Step by Step
We are given the functions:
$$\begin{align*}
f(x)&=x^3+5x-3\\
g(x)&=-3x^2-x.
\end{align*}$$
In order to calculate $g(7)+f(7)$ using a graphing calculator, we perform the following steps:
$\textbf{Step 1}$: Form the sum
Use $\textit{Function}$ from the $\textit{Y-Vars}$ menu. Enter $y_1=-3x^2-x$ and $y_2=x^3+5x-3$. Then enter the sum as $y_3=y_1+y_2$.
$\textbf{Step 2}$: Evaluate the sum
On the home screen enter $y_3(7)$ and press Enter. We get:
$$y_3(7)=221$$
Therefore $g(7)+f(7)=221$.