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 real numbers.

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 number . is the result true, if the domain R is replaced by N with co-domain being same as 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_* ?

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_** ?

Show that the function f: R_0->R_0 , defined as f(x)=1/x , is one-one onto, where R_0 is the set of all non-zero real numbers. Is the result true, if the domain R_0 is replaced by N with co-domain being same as R_0 ?

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_(**) ?

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_(**) ?

Show that the function f:R_(0)rarr R_(0), defined as f(x)=(1)/(x), is one-one onto,where R_(0) is the set of all non-zero real numbers.Is the result true,if the domain R_(0) is replaced by N with co-domain being same as R_(0)?