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Thread: 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; Nov 5th 2006 at 12:53 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, $\displaystyle x\geq 0$. The range of the inverse function is the same as the domain of the original map.
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