Answer
See below.
Work Step by Step
Step 1. Use the given data to find corresponding values of $f(x)$ and $g(x)$ where $x=-2,0,2,4$.
Step 2. Use rules $(f+g)(x)=f(x)+g(x)$, $(f-g)(x)=f(x)-g(x)$, $(fg)(x)=f(x)g(x)$, $(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$, fill the table as shown.