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

Let `A= R-{3}" and "B= R-{1}`. Consider the function `f : A to B` defined by `f(x)= (x-2)/(x-3)`. Then f is………..

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The correct Answer is:
one-one and onto
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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

  • Let f: R to R be defined as f(x) = x^(4) . Then

    A
    f is one-one onto
    B
    f is many-one onto
    C
    f is one-one but not onto
    D
    f is neither one-one nor onto

  • Let f: R to R be defined as f(x) = x^(4) . Then

    A
    f is one-one onto
    B
    f is many-one onto
    C
    f is one-one but not onto
    D
    f is neither one-one nor onto

  • Let f:R to R be defined as f(x) = x^(4) . Then

    A
    f is one-one onto
    B
    f is many-one onto
    C
    f is one-one but not onto
    D
    f is neither one-one nor onto.

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