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Question: If f(x) = \(\left\{ \begin{array} { c } x , x \text { is rational } \\ 1 - x , x \text { is irratio...

If f(x) = {x,x is rational 1−x,x is irrational \left\{ \begin{array} { c } x , x \text { is rational } \\ 1 - x , x \text { is irrational } \end{array} \right. then f(f(x)) is

A

x ∀ x ∈ R

B

f(x) =

C

f(x) =

D

None of these

Answer

x ∀ x ∈ R

Explanation

Solution

f(f(x)) =

⇒ f(f(x)) =