Question

Find the inverse of the hyperbolic cosine: (e^x+e^-x)/2

Answer 1

\(y = \cosh x\)

use these 2 facts:

\(\cosh^2 x - \sinh^2 x = 1\) 🐔

\(\cosh x + \sinh x = e^x\) 🐝

so first find an expression for \(\sinh x\) in terms of y using 🐔 and then use 🐝 to get expression \(x = f(y) \)

Answer 2

have you attempted this?