Finding inverse of non-linear transformation

*To*: mathgroup at smc.vnet.net*Subject*: [mg116408] Finding inverse of non-linear transformation*From*: "Christopher O. Young" <cy56 at comcast.net>*Date*: Sun, 13 Feb 2011 05:50:55 -0500 (EST)

I'm trying to find the inverse of the simple non-linear transformation (a x + b x + c) ({ {x}, {y}}) I'm trying to use this as a sort of counter-example to the usual projective transformation, which has the polynomial in the denominator. Does Mathematica have a way to do this? InverseFunction doesn't seem to work here. In[1]:= F[x_, y_, a, b, c] := (a x + b x + c) ( { {x}, {y} } ) In[2]:= InverseFunction[[x_, y_, a, b, c]] During evaluation of In[2]:= Part::pspec: Part specification x_ is neither an integer nor a list of integers. >> Out[2]= InverseFunction[[x_, y_, a, b, c]] Any help very much appreciated. Chris Young cy56 at comcast.net