Function Equation Question Involving $f(xy)=f(x)f(y)-f(x+y)+1$
28286
About finding the function such that $f(xy)=f(x)f(y)-f(x+y)+1$
52858
Find $f$ if $ f(x)+f\left(\frac{1}{1-x}\right)=x $
146719
Functional equation $f(r \cos \varphi)+f(r \sin \varphi)=f(r)$
49794
Solve $f(x^2+y+f(y))=2y+f(x)^2$ over $\mathbb{R}$
21891
If $f(xy)=f(x)f(y)$ then show that $f(x) = x^t$ for some t
4178
Solve $f(x)f(2x^2) = f(2x^3+x)$
20568
Does the following have a solution for f(x,y)?
31732
If the function $f$ satisfies the equation $f(xf(y)+x)=xy+f(x)$, find $f$
151519
If $f(f(x))=x^2-x+1$, what is $f(0)$?
32599
Solution to the functional equation $f(x^y)=f(x)^{f(y)}$
13042
Finding a function from the given functional equation .
123724
Solve $(y')^2 - xy' + y = 0$
142682
Find $f(x)$ where $ f(x)+f\left(\frac{1-x}x\right)=x$
41226
Find $f:f(xf(x)+f(y))=f(x)^2+y$
155806
(Olympiad Question) $f(2x) + 2f(y) = f(f(x+y))$
32432
Strategies to find the set of functions $f:\mathbb R\to\mathbb R$ satisfing the functional equation: $f(x^3)+f(y^3)=(x+y)(f(x^2)+f(y^2)-f(xy))$
81055
Functional Equation simple problem