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Math Help - Inverse of function

  1. #1
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    Inverse of function

    Hey guys.

    I've got this function: f(x,y) = (x, y^3 +xy)

    I need to find the inverse of this function. How would I go about that? I know how to do it, when the function consists of one variable, but what do I do, when it has two variables?

    Thanks for the help.

    Morten
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: Inverse of function

    Quote Originally Posted by m112358 View Post
    I've got this function: f(x,y) = (x, y^3 +xy) . I need to find the inverse of this function. How would I go about that?
    Supposing f^{-1} exists, in general we can't explicitly determine it. For example, denote (u,v)=(x,y^3 +xy). Then, x=u and y^3+uy=v. Could you get a reasonable expression y=y(u,v) ?
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