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Math Help - finding an inverse of a function

  1. #1
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    finding an inverse of a function

    I'm having problems finding the inverse of this specific function:

    sqrt(x) / (sqrt(x) - 3)

    I've been able to do other inverses that are simpler like x^4 and what not but I'm stumped on this as the answer in the book is nowhere near what I am getting.
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  2. #2
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    Re: finding an inverse of a function

    Quote Originally Posted by deltemis View Post
    I'm having problems finding the inverse of this specific function:

    sqrt(x) / (sqrt(x) - 3)

    I've been able to do other inverses that are simpler like x^4 and what not but I'm stumped on this as the answer in the book is nowhere near what I am getting.
    deleted
    Last edited by romsek; January 27th 2014 at 08:05 PM.
    Thanks from deltemis
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  3. #3
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    Re: finding an inverse of a function

    Quote Originally Posted by deltemis View Post
    I'm having problems finding the inverse of this specific function:

    sqrt(x) / (sqrt(x) - 3)

    I've been able to do other inverses that are simpler like x^4 and what not but I'm stumped on this as the answer in the book is nowhere near what I am getting.
    I'd probably start by simplifying this function first...

    \displaystyle \begin{align*} \frac{\sqrt{x}}{\sqrt{x} - 3} &= \frac{\sqrt{x} - 3 + 3}{\sqrt{x} - 3} \\ &= 1 + \frac{3}{\sqrt{x} - 3} \end{align*}

    This should be MUCH easier to find the inverse of...
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  4. #4
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    Re: finding an inverse of a function

    finding an inverse of a function-28-jan-2014-2.png
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