Freeflows

Problems

Sign in

Functional Equation Solution 4

The function $ f(x) $ satisfies \[f(x) + f(2x) + f(2 - x) + f(x + 1) = x\]for all real numbers $ x $. Find $ f(0) $.

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$