Answer
See below.
Work Step by Step
Step 1. Use the given data to find values $f(-2)=0,f(0)=5,f(2)=7,f(4)=10$ and $g(-2)=6,g(0)=0,g(2)=-2,g(4)=5$.
Step 2. Use the rules: $(f+g)(x)=f(x)+g(x)$, $(f-g)(x)=f(x)-g(x)$, $(fg)(x)=f(x)\cdot g(x)$, $(\frac{f}{g})(x)=\frac{f(x)}{g(x)}$ to fill the table as shown.