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  • $\begingroup$ Welcome to Mathematica.SE! 1) As you receive help, try to give it too, by answering questions in your area of expertise. 2) Take the tour and check the help center! 3) When you see good questions and answers, vote them up by clicking the vote triangles, because the credibility of the system is based on the reputation gained by users sharing their knowledge. Also, please remember to accept the answer, if any, that solves your problem, by clicking the checkmark sign! $\endgroup$ Commented Aug 11, 2016 at 18:35
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    $\begingroup$ Could you give Mathematica code for your definition of x[\[Phi]]? Could be similar to this question. $\endgroup$ Commented Aug 11, 2016 at 18:55
  • $\begingroup$ It looks like your equation $x(\phi) = x_0$ has two solutions for all values of $x_0$, one with positive $\phi$ and one with negative $\phi$. Do you have a preference as to which one is returned? $\endgroup$ Commented Aug 11, 2016 at 19:03
  • $\begingroup$ @ChrisK definition: x[[Phi]_] := 1/(2 Sqrt[2]) (-2/[Phi] + Log[(1 + [Phi])/(1 - [Phi])]); I also added it to the post as screenshot $\endgroup$ Commented Aug 11, 2016 at 19:04
  • $\begingroup$ @MichaelSeifert yes, I need negative one. Therefore I used the restrictions on phi in the first example $\endgroup$ Commented Aug 11, 2016 at 19:07