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Show that the function f: R(**)to R (**)...

Show that the function `f: R_(**)to R _(**)` defined by `f (x) = 1/x` is one-one and onto, where `R _(**)` is the set of all non-zero numbes. Is the result true, if the domain `R _(**)` is replaced by N with co-domain being same as `R_(**)` ?

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