Suppose coincides with its inverse over a suitable interval.
Suppose that . What conditions on a,b,c,d are necessary and sufficient in order that coincide with it's inverse function?
Help is greatly appreciated. Thanks.
Last edited by Iceflash234; Apr 10th 2010 at 12:33 PM.
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btw, I think you meant .
Last edited by maddas; Apr 10th 2010 at 12:43 PM.
Reason: typo lol
Originally Posted by maddas
btw, I think you meant . Thanks. Fixed the typo.
About response: Ok. I understand that. But what conditions on a,b,c,d are are necessary and sufficient?
lol that y was supposed to be an x, sorry!
Equate and clear the denominators. You will arrive at two polynomials in x. Equating their coefficients should give you the required conditions.
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