Answer
$\dfrac{1}{36}$
Work Step by Step
We are given the functions:
$$\begin{align*}
f(x)&=x^{1/3}\\
g(x)&=9x.
\end{align*}$$
In order to calculate $\dfrac{f(-8)}{g(-8)}$ using a graphing calculator, we perform the following steps:
$\textbf{Step 1}$: Form the quotient
Use $\textit{Function}$ from the $\textit{Y-Vars}$ menu. Enter $y_1=x^{1/3}$ and $y_2=9x$. Then enter the quotient as $y_3=y_1/y_2$.
$\textbf{Step 2}$: Evaluate the quotient
On the home screen enter $y_3(-8)$ and press Enter. We get:
$$y_3(-8)=\dfrac{1}{36}$$
Therefore $\dfrac{f(-8)}{g(-8)}=\dfrac{1}{36}$.
