# Recent questions tagged p10

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### Show that the function $f : R_* \rightarrow R_*$ defined by $f(x) = (\frac{1} {x})$ 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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