Let f(x) be given that `f(x)={{:(,x,"if x is rational"),(,1-x,"if x is irrational"):}`
The number of points at which f(x) is continuous, is

If f (x)= [{:(x,,, "if x is rational"), (1-x,,," if x is irrational "):}, then number of points for x in R, where y =f (f (x)) discontinous is:

If f(x)={{:(x^(2),:,"when x is rational"),(2-x,:,"when x is irrational"):}, then

Let f (x)= {{:(sin ^(2) x"," , "x is rational"),(-sin ^(2)x",", " x is irrational"):}, then set of points, where f (x) is continuous, is:

Let f (x)= {{:(sin ^(2) x"," , "x is rational"),(-sin ^(2)x",", " x is irrational"):}, then set of points, where f (x) is continuous, is:

If f:[0,1]to[0,1] is defined by f(x)={{:(x," if x is rational"),(1-x," if x is irrational"):} , then (fof)(x) is

IF f(x)={{:(x,"if",x,"is rational"),(1-x,"if",x, "is irrational"):},"then find" lim_(xto1//2) f(x) if exists.

Discuss the continuity of function f(x)={{:(1,"if x is rational"),(0,"if x is irrational"):}

If f(x)={x ,x is rational 1-x ,x is irrational ,then f(f(x)) is

Discuss the continuity of f(x)={x^2, x is rational -x^2, x is irrational dot

If f(x)={(sin x;x rational) (cos x;x is irrational) then the function is