CBSE Class 12 Mathematics Relations and Functions Q #2158
KNOWLEDGE BASED
REMEMBER
5 Marks Generic-Curriculum LA
Show that the function $f : R_* \to R_*$ defined by $f(x) = \frac{1}{x}$ is one-one 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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