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If the functions f(x) and g(x) are defin...

If the functions f(x) and g(x) are defined on `R rarr R` such that `f(x)= {(0,"x" in " rational"),(x, x in " irrational"):} and g(x)= {(0,"x" in " irrational"),(x, x in " rational"):}` then (f - g) (x) is a)one - one and onto b)neither one - one nor onto c)one - one but not onto d)onto but not one - one

A

one - one and onto

B

neither one - one nor onto

C

one - one but not onto

D

onto but not one - one

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The correct Answer is:
A
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