Show that the functions `f: R_*-R_*`defined by `f(x)=1/x` is one-one and onto. where R* is the set
Channel: Doubtnut
Date: 2020-06-28

Show that the functions `f: R_*-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*.