Question

can we find all functions with this property

\[ f(x)=f^{-1}(x) \]

Answer 1

@Neemo

Answer 2

only neemo? he can't be found...:)

Answer 3

haha no; we discussed about it on a question before!!

Answer 4

looks like somebody found nemo...

Answer 5

if you add that f is strictly increasing then the only solution is f(x)=x
so, if not....there are many ....... infinity :)

Answer 6

also ! alll countinous" fonction" that have y=x as axis of symmetry are a solution !

Answer 7

nice;

\(y=0\) , \(y=x\) and \(\large y=\frac{a}{x} \) are answers
do u know another family of functions