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Let A = R - {3} and B =R -{1}. Consider ...

Let `A = R - {3} and B =R -{1}.` Consider the function `f : A to B` defined by `f (x) = ((x -2)/(x -3)).` Is f one-one and onto ? Justify your answer.

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Knowledge Check

  • The function f : R rarr R defined by f(x) = 7^x + 7^|x| is

    A
    a.one- one and onto
    B
    b.many one and onto
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    C
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    D
    many one, into

  • Let f: R to R be defined by f(x) = x^(4) , then

    A
    f is one-one but not onto
    B
    f is neither one-one nor onto
    C
    f is one-one and onto
    D
    f may be one-one and onto

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