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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 ") :} `
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

Text Solution

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The correct Answer is:
A
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