2
1 Show that the function 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∗∗∗∗∗ 2