How to find inverse of a self-written function in matlab?

I want to input x = acosh(2/h) - sqrt(4-h^2) and I require its inverse in the form, h = f(x).

Answer 1

[Rik]

The first hit in my favorite internet search engine was the finverse function:

syms h
x(h) = acosh(2/h) - sqrt(4-h^2);
g = finverse(x);

Unfortunately, this results in a warning that Matlab is unable to find the functional inverse. Wolfram Alpha can't do it either.

So unless and until someone shows that it does, I'm going to assume a functional inverse of your function does not exist.

[Torsten]

The function has an inverse for x in (0,2], but it can't be expressed in closed form, I guess.

Best wishes

Torsten.