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

Let f : RRtoRR be defined by f(x)={{:(x" "x" is irrational"),(1-x" "x" is rational"):} then f is

Let f:R to R be defined by f(x)={:{(x, x " is irrational"),(1-x, x " is rational"):} then f is........

f(x)={(x", if x is rational"),(0", if x is irrational"):}, g(x)={(0", if x is rational"),(x", if x is irrational"):} Then, (f-g) is (A) one-one and onto (B) one-one but nor onto (C) onto but not one-one (D) neither one-one nor onto

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

Which of the following functions has (have) y-symmetry or origin symmetry? (i) f(x) = x^(2) sin x" "(ii) f(x) = log (x+sqrt(1+x^(2))) (iii) f(x) = (e^(x)+e^(-x))/2" "(iv) f(x) = {{:(0", ""If x is rational "),(1", " "If x is irrational"):}

If f (x) = (x + 1)/(x - 1) is a real function , x ne 1 , then f [f(2)] is . . . .

If f(x)=x+2, " then " f'(f(x)) at x=4 is

Discuss the continuity of the following function : f(x)={1 if x rational ; 0 if x is irrational