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Math Help - Multiplicative inverse.

  1. #1
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    Multiplicative inverse.

    What is the multiplicative inverse of a-1/a.

    My teacher explained me.. but i can't get it...

    I saw that the answer is a/a^2-1.
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  2. #2
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    Re: Multiplicative inverse.

    Quote Originally Posted by kohila View Post
    What is the multiplicative inverse of a-1/a.
    My teacher explained me.. but i can't get it... I saw that the answer is a/a^2-1.
    If a\ne 1 the multiplicative inverse of \frac{a}{a-1} is \frac{a-1}{a}.

    If x\ne 0 then the multiplicative inverse of x is the number y which has the property that x\cdot y=1.

    Thus that is \frac{1}{x}.
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  3. #3
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    Re: Multiplicative inverse.

    And the multiplicative inverse of a-\frac{1}{a} is indeed \frac{a}{a^2-1}, which in plain text form should be written with parentheses: a / (a^2 -1). This is because the product of these two numbers equals 1.
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  4. #4
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    Re: Multiplicative inverse.

    How they got this a/a^2-1. Please explain clearly and concisely.
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  5. #5
    MHF Contributor MarkFL's Avatar
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    Re: Multiplicative inverse.

    a-\frac{1}{a}=\frac{a^2-1}{a} and so \frac{1}{\frac{a^2-1}{a}}=\frac{a}{a^2-1}
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  6. #6
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    Re: Multiplicative inverse.

    I can't able to get it.... please explain.....
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  7. #7
    Senior Member MaxJasper's Avatar
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    Re: Multiplicative inverse.

    Start from 2:

    MI of 2 = 1/2
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