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What is the inverse function of $f(x) = x^5 + 2x^3 + x - 1?$ I have no idea how to find the inverse of a polynomial, so I would greatly appreciate it if someone could show me the steps to solving this problem. Thank you in advance!

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    please enclose your math in \$ \$ to have it typeset nicely2012-10-10
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    Even Mathematica can't find inverse function, but you can be confident - inverse function does exist2012-10-10
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    Your polynomial is increasing, and its range is all reals, so there **is** an inverse. Finding a pleasant expression for the inverse is another matter. But one can find information about the derivative of the inverse without knowing a formula.2012-10-10
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    I think, it's very hard. Is it homework? Or where is this problem from?2012-10-10
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    This question has been asked before, albeit in greater detail. Most likely we're having trouble answering it because we're missing this information: http://math.stackexchange.com/questions/85226/homework-help-ap-calculus-inverse-of-polynomial?rq=12012-12-15

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