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Show that f : N rarr N given by f(x) =...

Show that `f : N rarr N` given by
`f(x) = { ((x +1), if x is odd), ((x - 1), if x is even) :}`
is both one-one and onto.

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V PUBLICATION-RELATIONS AND FUNCTIONS-QUESTION BANK
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  14. Let f:R rarrR be defined as f(x) = 3x Choose the correct answer

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  18. Show that if f: A rarr B and g: B rarr C are onto, then gof : A rarr C...

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  19. Are 'f' and 'g' both necessarily onto, if gof, is onto?

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