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Show that the function f : R rarr R , d...

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 ?

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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_(**) ?

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Knowledge Check

  • If f : R rarr R be defined by f(x) = 1/(x) , AA x in R . Then , f is .........

    A
    one-one
    B
    onto
    C
    bijective
    D
    f is not defined

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