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.

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- Apr 10th 2010, 12:22 PMIceflash234Inverse function question
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. - Apr 10th 2010, 12:25 PMmaddas

btw, I think you meant . - Apr 10th 2010, 12:38 PMIceflash234
- Apr 10th 2010, 12:46 PMmaddas
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.