Given,
[tex]\begin{gathered} F=\mleft(-4,-1\mright),\mleft(-3,-1\mright),\mleft(-2,-3\mright),\mleft(3,0\mright) \\ G=\mleft((5,3),(4,-1),(-2,-4),(-4,-5)\mright) \end{gathered}[/tex]Now, apply the given mapping
[tex]\begin{gathered} (f+g)(-2)=f(-2)+g(-2) \\ =-3-4 \\ =-7 \end{gathered}[/tex]So,the required answer is,
[tex](f+g)(-2)=-7[/tex]