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Questions  

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

a
x∀x∈R
b
x,x is irrational 1−x,x is rational
c
x,x is rational 1−x,x is irrational
d
None of these

detailed solution

Correct option is A

f(f(x))=f(x),f(x) is rational 1−f(x),f(x) is irrational =x,x is rational 1−(1−x)=x, x is irrational

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