The number of points of discontinuity of `g(x)=f(f(x))` where `f(x)` is defined as, `f(x)={1+x ,0lt=xlt=2 3-x ,22`

Find all points of discontinuity of f, where f is defined by f(x)={{:(x+1," if "x ge1),(x^(2)+1," if "x lt 1):}

Find all points of discontinuity of f, where f is defined by f(x)={{:(x^(10)-1," if "x le1),(x^(2)," if "x gt 1):}

Find all points of discontinuity of f, where f is defined by f(x)={{:((x)/(|x|)," if "x lt0),(-1," if "x ge 0):}

Find all points of discontinuity of f, where f is defined by f(x) = {{:((|x|)/(x)," if "x ne0),(0," if "x= 0):}

Find all points of discontinuity of f, where f is defined by f(x) = {{:(2x+3," if "x le 2),(2x-3," if "x gt 2):} .

Find all points of discontinuity of f, where f is defined by f(x)={{:(|x|+3," if "x le -3),(-2x," if "-3 ltx lt 3),(6x+2," if "x ge 3):} .

Find all points of dicontinuity of f, where f(x)={{:((sinx)/(x)," if "x lt 0),(x+1," if "x ge 0):} .