[PaoZa]

$f(f(2\star 1))=f(f(2))=f(3)=4$
$f(2\Delta 1)=\frac{2}{3}+1$
$\therefore f(f(2\star 1))+f(2\Delta 1)-\frac{11}{3}+2553=4+\frac{2}{3}+1-\frac{11}{3}+2553=2555$