Answer
See diagram
Work Step by Step
We are given the function:
$$f(x)=\dfrac{3}{x-2}.$$
We build a machine diagram for $f$: the input values are the values from the domain of $f$, which is $(-\infty,2)\cup(2,\infty)$ and the output values are the corresponding values $f(x)$:
$$\begin{align*}
f(-1)&=\dfrac{3}{-1-2}=-1\\
f(1)&=\dfrac{3}{1-2}=-3\\
f(3)&=\dfrac{3}{3-2}=3.
\end{align*}$$
