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:[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) is defined on [0, 1] by the rule f(x)={x, if x is rational , 1-x, if x is rational ' then for all x in [0,1] , f(f(x)) is

If f(x)={x, when x is rational and 0, when x is irrational g(x)={0, when x is rational and x, when x is irrational then (f-g) is A. one-one and onto B. neither one-one nor onto C. many one and onto D one-one and into

If the functions f(x) and g(x) are defined on R -> R such that f(x)={0, x in retional and x, x in irrational ; g(x)={0, x in irratinal and x,x in rational then (f-g)(x) is

If f(x)={(sin x;x rational) (cos x;x is irrational) then the function 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,"if",x,"is rational"),(1-x,"if",x, "is irrational"):},"then find" lim_(xto1//2) f(x) if exists.

if f(x)=x^2-ax+3 , x is rational and f(x)=2-x , x is irrational is continuous at exactly two points, then the possible values of a

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