Question

How to solve $f(x+f(x)+2f(y))=f(2x)+f(2y)$?

score 568 · Answer 1 · 2015-09-08 13:20:31

568

Views

How to solve $f(x+f(x)+2f(y))=f(2x)+f(2y)$?

Published on 08 Sep 2015 - 13:20

score 60 · Answer 2 · 2026-03-26 16:07:02

60

Views

What is the solution of this recursion, that's defined in terms of a sum, but with this $1$ odd twist?

Published on 26 Mar 2026 - 16:07

score 497 · Answer 3 · 2015-09-08 20:04:05

497

Views

Find all real functions $f$ such that $f(xf(y))=(1-y)f(xy)+x^2y^2f(y)$

Published on 08 Sep 2015 - 20:04

score 880 · Answer 4 · 2015-09-08 21:30:54

880

Views

Prove that $f(\mathbb R) = \mathbb R$. Partially solved.

Published on 08 Sep 2015 - 21:30

score 145 · Answer 5 · 2015-09-10 17:40:04

145

Views

How to solve $\frac{f^{-1}(x)f(x)}{x}=\frac{f^{-1}(x)+f(x)}{2}$?

Published on 10 Sep 2015 - 17:40

score 123 · Answer 6 · 2015-09-10 18:57:46

123

Views

$f(x) \ge f(x + \sin x)$, nonconstant functions, infinite number of solutions to $f'(x) = 0$.

Published on 10 Sep 2015 - 18:57

score 445 · Answer 7 · 2026-03-28 01:47:18

445

Views

Why does the Lagrange equation have to be zero?

Published on 28 Mar 2026 - 1:47

score 219 · Answer 8 · 2015-09-11 15:49:37

219

Views

Find a function $f$ which satisfies $f(mn) = f(m)f(n)$ for positive integers $m,n$ and $f(2)=2$

Published on 11 Sep 2015 - 15:49

score 114 · Answer 9 · 2015-09-12 13:33:10

114

Views

How to solve $f\left(\frac{f(x)}{yf(x)+1}\right)=\frac{x}{xf(y)+1}$?

Published on 12 Sep 2015 - 13:33

score 193 · Answer 10 · 2026-04-03 05:50:56

193

Views

How can I solve this recursive function $f(n) = f(f(n+1))$?

Published on 03 Apr 2026 - 5:50

score 267 · Answer 11 · 2015-09-14 09:12:06

267

Views

Problem based on $f(\frac{x+y}{2})=\frac{f(x)+f(y)}{2}$

Published on 14 Sep 2015 - 9:12

score 330 · Answer 12 · 2015-09-14 11:32:21

330

Views

Find the least possible value of $n$ such that there exist $P(x), Q(x) \in \mathbb{Z}[x]$

Published on 14 Sep 2015 - 11:32

score 48 · Answer 13 · 2015-09-14 16:39:19

48

Views

How to find a 3d equation from a series of points

Published on 14 Sep 2015 - 16:39

score 72 · Answer 14 · 2015-09-14 18:32:07

72

Views

Find a 3d equation that goes through a series of points?

Published on 14 Sep 2015 - 18:32

score 57 · Answer 15 · 2015-09-17 19:31:38

57

Views

Finding Linear Operator for a given Basis

Published on 17 Sep 2015 - 19:31

List Question

How to solve $f(x+f(x)+2f(y))=f(2x)+f(2y)$?

What is the solution of this recursion, that's defined in terms of a sum, but with this $1$ odd twist?

Find all real functions $f$ such that $f(xf(y))=(1-y)f(xy)+x^2y^2f(y)$

Prove that $f(\mathbb R) = \mathbb R$. Partially solved.

How to solve $\frac{f^{-1}(x)f(x)}{x}=\frac{f^{-1}(x)+f(x)}{2}$?

$f(x) \ge f(x + \sin x)$, nonconstant functions, infinite number of solutions to $f'(x) = 0$.

Why does the Lagrange equation have to be zero?

Find a function $f$ which satisfies $f(mn) = f(m)f(n)$ for positive integers $m,n$ and $f(2)=2$

How to solve $f\left(\frac{f(x)}{yf(x)+1}\right)=\frac{x}{xf(y)+1}$?

How can I solve this recursive function $f(n) = f(f(n+1))$?

Problem based on $f(\frac{x+y}{2})=\frac{f(x)+f(y)}{2}$

Find the least possible value of $n$ such that there exist $P(x), Q(x) \in \mathbb{Z}[x]$

How to find a 3d equation from a series of points

Find a 3d equation that goes through a series of points?

Finding Linear Operator for a given Basis

Trending Questions

Popular # Hahtags

Popular Questions