Answer
See graph and explanations.
Work Step by Step
Step 1. Graph both functions as shown in the figure.
Step 2. We can identify the asymptotes as $y=0$ and $x=0$
Step 3. $f(x)$ has domain $(-\infty,\infty)$ and range $(0,\infty)$
Step 4. $g(x)$ has domain $(0,\infty)$ and range $(-\infty,\infty)$