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Math Help - inverse funtion domain

  1. #1
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    inverse funtion domain

    find the inverse of f(x)= 3x/ x+1. what is the domain of the inverse and what must be done to ensure that the inverse is a function.

    i found that the inverse function is (square root of) x/3-x

    can anyone help me wiht the rest?
    Last edited by imthatgirl; November 5th 2006 at 01:53 PM.
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  2. #2
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    Quote Originally Posted by imthatgirl View Post
    find the inverse of f(x)= 3x/ x+1. what is the domain of the inverse and what must be done to ensure that the inverse is a function.

    i found that the inverse function is (square root of) x/3-x

    can anyone help me wiht the rest?
    First this function does not have an inverse for all real numbers. However if you restrict the domoanin then it does, x\geq 0. The range of the inverse function is the same as the domain of the original map.
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