Question

define a continuity of a function at a point. find all the point s of discontinuity of defined by f(x)=/x/-/x+1/.

Answer 1

function f(x)=|x|-|x+1|

f(x)= { 1 x<-1
{-2x-1 -1<x<0
{-1 0<x<1
{-1 x>1
hence we see function is continuous at all points no point found where function is dicontinous