Let `f : [a,b]-> R` be any function which is such that `f(x)` is rational for irrational x and that `f(x)` is iirrational for rational x, then in [a,b]

Let f:[a,b]rarr R be any function which is such that f(x) is rational for irrational x and that f(x) is irrational for rational x, then in [a,b]

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

Let f(x)=[x^(2) if x is irrational,1 if x is rational then

The function f(x)={0,x is irrational and 1,x is rational,is

f(x)=1 for x is rational -1 for x is irrational,f is continuous on

If f(x)={x^(2) if x is rational and 0, if x is irrational }, then

Let f(x)={x^(n),x is rational and -x^(n),x is irrational then f(x) is discontinuous at x=0 if n

let f:R rarr R be a continuous function AA x in R and f(x)=5,AA x in irrational. Then the value of f(3) is

If the functions f(x) and g(x) are defined on R rarr R such that f(x)=(x+3,x in ratioal 4x,x in irrational,and g(x)=x+sqrt(5),x in irrational;-x,x in rational Then (f-g)(x) is