Functional equation: what function is its inverse's reciprocal?
47166
Is there a function whose inverse is exactly the reciprocal of the function, that is $f^{-1} = \frac{1}{f}$?
75548
second derivative of the inverse function
153942
Solution of functional equation $f(x+y)=f(x)+f(y)+y\sqrt{f(x)}$
44148
Functions that are their own inverse.
157211
Find the derivative of the inverse of this real function $f(x) = 2x + \cos(x)$
13193
Does a inverse function need to be either surjective or injective?
128159
the Riemann integrability of inverse function
103934
Functional Equation (no. of solutions): $f(x+y) + f(x-y) = 2f(x) + 2f(y)$
44879
Multiplicative inverse questions
50664
Inverse function of $\operatorname{li}(x)$ over $x>\mu$?
150274
Inverse of a function - $f^-(x)$ in a restricted domain
136475
d'Alembert-like functional equation: $f(x+y)+g(x-y)=\lambda f(x)g(y)$
32856
Functional equations $f(x+y)= f(x) + f(y)$ and $f(xy)= f(x)f(y)$
77180
In pure functional languages, is there an algorithm to get the inverse function?
142490
Alternative proof for differentiability of inverse function?
34070
Agreed upon domain of inverse trig functions
157744
Cauchy's functional equation with composite function: $gf(x+y)=gf(x)+gf(y)$