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Show that the function
f : R \dashrightarrow R defined by f ( x ) =
(1)/(x) \\ is one - one but not onto.

thankyou! :)​

User Questioning
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1 Answer

14 votes
14 votes


\qquad\qquad\huge\underline{{\sf Answer}}

The given function is :


\qquad \tt \dashrightarrow \:f(x) = (1)/(x)

here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.

but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]

User Demonyowh
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