Find a function satisfying this condition
102657
If $f$ is continuous real function such that $f(11) = 10$ and $\forall x, f(x)f(f(x)) = 1$ then find $f(9)$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
81055
Functional Equation simple problem
133251
One way function existence
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
141529
Proving existence of a minimum
124523
Finding an Inverse Function and Composition of Functions?
104278
Finding function $f(x)$ which satisfy given functional equation
97371
Proving a function is constant, under certain conditions?
2142
Finding a set of continuous functions with a certain property 2
72769
How find this function $xf(x^2)=f(x),x>0$
28315
Monotone functions and non-vanishing of derivative
37736
How to find a function in $ L_{2}(0,\infty)$ but not $L_{q}(0,\infty)$, $q\neq 2 $
11453
Find a real function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
67249
Can you determine a formula for this problem?
126288
Find the Set With Given Condition
113740
Find a uniformly continuous function such that $a_{n+1}=f(a_n)$