How would I solve a chaotic function for x?

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I need a chaotic function and a way to unsolve it for a project I have, but I don't know how I would go about undoing a chaotic function such as y=10(sin(x)^5+cos(x)^10) (I guess that isn't truly chaotic, just made it up in 5 mins but it's close enough for what I need to do).