If f: [0,1] to R is defined by the rule ...

If `f: [0,1] to R` is defined by the rule
`f (x) = {{:(x, "if x is a rational number"),(1 -x, "if x is an irrational number"):}` then :

A

f of (x) = x for all `x in [0,1]`

B

f of (x) =1 -x for all `x in [0,1]`

C

f of f (x) f=1 for all `f in [0,1]`

D

f of (x) =0 for all ` x in [0,1]`

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The correct Answer is:

A

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