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Math Help - Find the inverse domain and range of f(x)?

  1. #1
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    Find the inverse domain and range of f(x)?

    I am stuck trying to find the inverse of f(x)=x+6/x, can someone help?
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  2. #2
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    Quote Originally Posted by sydewayzlocc View Post
    I am stuck trying to find the inverse of f(x)=x+6/x, can someone help?
    f(x) = \frac{x+6}{x} or x + \frac{6}{x} ?

    please use parentheses to make your posts clear.
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  3. #3
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    i apologize it was (x+6)/(x)
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    To find the inverse of a function, substitute y for every x, then x for y's. So your function would then look like: x = (y+6)/y. Now just solve for y, and you have your inverse function.
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  5. #5
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    Quote Originally Posted by sydewayzlocc View Post
    ... it was (x+6)/(x)
    y = \frac{x+6}{x}

    swap variables ...

    x = \frac{y+6}{y}

    solve for y ...

    xy = y+6

    xy - y = 6

    y(x-1) = 6

    y = \frac{6}{x-1}
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