Let f(x) be a function defined on [0, 1] such thatf(x)={xx∈Q1−xx∉Q and for all values of x∈[0,1],fof(x)=a+bx, then the value of a+b is
Let f(x) be a function defined on [0, 1] such that f(x)={x, if x ϵ Q1−x, if x /ϵ Q Then, for all x ϵ [0,1],f(f(x))=
Let f(x) is a continuous function which takes positive values for x (x>0), and satisfy ∫x0f(t)dt=x√f(x) with f(1)=12. Then the value of f(√2+1) equals