Answer
$0$
Work Step by Step
$(3-\sqrt{13})^{2}=3^{2}-2\cdot 3\cdot\sqrt{13}+(\sqrt{13})^{2}\\\\=9+13-6\sqrt{13}\\\\=22-6\sqrt{13}$
$f(3-\sqrt{13})=22-6\sqrt{13}-6(3-\sqrt{13})-4$
$= 22-6\sqrt{13}-18+6\sqrt{13}-4$
... add like terms
$=0$