Given the function $f(x)=\large\frac{1}{x+2}.$Find the points of discontinuity of the composite function $y=f(f(x)).$

Question

$\begin{array}{1 1} x=-2,\large\frac{-5}{2} \\ x=2,\large\frac{5}{2} \\ x=-2,\large\frac{5}{2} \\ x=2,\large\frac{-5}{2} \end{array}$