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Inverse of cubic functions 
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#1
Oct1104, 05:43 AM

P: 347

Is there a way (algebraic or otherwise) to find the inverse function of a cubic polynomial?
For example: y(x) = x³+x9 y^{1}(x) = ? 


#2
Oct1104, 07:08 AM

Sci Advisor
HW Helper
P: 1,123

Yes but it is big and nasty.
In the same way you can have: [tex]y = ax^2 + bx + c[/tex] [tex]ax^2 + bx + (c  y) = 0[/tex] [tex]x = \frac{b \pm \sqrt{b^2  4a(cy)}}{2a}[/tex] You can do it for cubic equations with this equation: http://www.math.vanderbilt.edu/~schectex/courses/cubic/ 


#3
Oct1104, 10:03 AM

P: 347

Thanks. Just what I was looking for.



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