Yahoo Answers is shutting down on May 4th, 2021 (Eastern Time) and the Yahoo Answers website is now in read-only mode. There will be no changes to other Yahoo properties or services, or your Yahoo account. You can find more information about the Yahoo Answers shutdown and how to download your data on this help page.
How do you find an inverse function if that inverse can only be expressed as a Taylor series expansion?
For example, how do you find the inverse function of Y = X^X ? Solving for X in terms of Y can't be done using basic algebra. How do I calculate the power series expansion of the inverse function?
1 Answer
- ?Lv 72 months ago
A Taylor series doesn't help at all for the function
you mentioned.
Also, for even value of x between 0 and 1 , there are
two y values for every x so an inverse would not be a function.
so a Taylor series will be like the following
So with all different exponent levels. the Taylor
doesn't help find the inverse.
y = c + (x-a)*b + (x-a)^2*c + (x-a)^3*d + ...