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Finding inverse of non-linear transformation


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



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