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Show that the function f : R** rarr R** ...

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

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