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wolfram-mathematica
Aleksandar
Aleksandar

Reputation: 21

How to find inverse function in Wolfram Mathematica?

The question seems too easy to answer, however it is not, since I have to deal with functions that do not have closed forms (or I don't know how to find them). For example, I would like to find inverse functions for: y == x Tan[x] and y == a x + b Tan[x].

Thus far, I used Newton-Rhapson's method for the inverse transformations. It works fine, but requires iterations. I just wonder whether there is a method to prove that there is a better solution or not. I've tried Wolfram Mathematica to find a solution, but since I'm a beginner. I have had no luck to get anything meaningful.

Upvotes: 1

Views: 2802

Answers (1)

Chris Degnen
Chris Degnen

Reputation: 8680

Seems it can't be done.

Solve[y == x Tan[x], x]

Solve::nsmet: This system cannot be solved with the methods available to Solve.

InverseFunction[# Tan[#] &]

Upvotes: 0

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