I am stuck in trying to inverse this function:
$f(x) = x-(x-0.75)^2+a\ln((x-0.75)^2+1)$
Where $x\in(0.75;1.25)$.
Does anybody has an idea of the solution? Is there a method you advice? I tried on wolfram alpha, but it is not finding any solution.
Many thanks!
Most likely, the inverse function (if it exists, I didn't check this) cannot be written using elementary functions, as you would need to solve the equation for x.