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For any function?

Right now, I try to find the values of x and y for the function to see if it is one-to-one, but it doesn't work for some of the more complex and unusual functions.

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    This is question is too general. In any rate, you can find and inverse. The theorem says that if it is onto and one to one, then an inverse exists, so it gives you a tool to prove existence of an inverse without actually finding it.2012-11-29
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    Find an inverse. In the parts of mathematics that I enjoy this is sometimes, perhaps often, easier than proving that a function is onto and one-to-one.2012-11-29
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    isn't finding an inverse harder sometimes though?2012-11-29
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    there is finding the x and y values and finding a counter examples i guess...2012-11-29
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    By proving it is invertible, you have proven that a function is injective (one-to-one) and surjective (onto), so the answer to your question is "no".2012-11-29

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