Let `f(x) `is defined on the interval [0, 1] by `f(x)={x,xepsilonQ ` and ` (1-x),x!=Q}` , where `Q` is the set of rational numbers.

Let f:R rarr R such that f(x)=3x,;x in Q,sqrt(2)x+1;x!in Q, where Q is set of rational numbers,then f is

If f(x) is defined as, f(x)={x if xepsilonQ, 1-x ifx!epsilonQ} . Then for all xepsilonR the composite function f[f(x)]

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) 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

Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the interval [0,1]. The odd extension of f(x) to the interval [-1,1] is

Let the function f(x)=x^(2)+x+sinx- cosx+log(1+|x|) be defined on the interval [0,1]. The odd extension of f(x) to the interval [-1,1] is