The function f ( x ) is defined on [ 0 , 1 ] as follows: f ( x ) = { x , 1 − x , i f x i sr a t i o na l i f x i s i rr a t i o na l Then for all x ∈ [ 0 , 1 ] , f ( f ( x )) is equal to:

Question

The function f ( x ) is defined on [ 0 , 1 ] as follows: f ( x ) = { x , 1 − x , ​ i f x i sr a t i o na l i f x i s i rr a t i o na l ​ Then for all x ∈ [ 0 , 1 ] , f ( f ( x )) is equal to:

TestHub · Accepted Answer

​ f ( f ( x )) = f ( x ) = x , if x is rational. ​ = 1 − f ( x ) = 1 − ( 1 − x ) if x is irrational ​

Mathematics - Functions Question with Solution | TestHub

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