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If the function f(x) and g(x) are define...

If the function f(x) and g(x) are defined on `R to 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 find ` (f-g)(x)` and also check the nature of the function.

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
NA
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