Question

Equation for curve where $f(x)= f(x-1)+50 x$

score 145 · Answer 1 · 2016-10-09 15:29:11

145

Views

Equation for curve where $f(x)= f(x-1)+50 x$

Published on 09 Oct 2016 - 15:29

score 52 · Answer 2 · 2016-10-11 11:19:28

52

Views

Cauchy-like functional equation $f(x+g(x)y)=f(x)+f(g(0)y)-f(0)$

Published on 11 Oct 2016 - 11:19

score 60 · Answer 3 · 2016-10-11 13:18:20

60

Views

Solve $f(5)$ when its given the function

Published on 11 Oct 2016 - 13:18

score 82 · Answer 4 · 2016-10-11 21:48:57

82

Views

Most general solution to the equation $f(x) = f(1/x)$

Published on 11 Oct 2016 - 21:48

score 112 · Answer 5 · 2016-10-12 21:14:45

If $f:\Bbb R\to\Bbb R$ is continuous and $\forall x,y\in\Bbb R,\ f(x+y)=f(x)+f(y)$, then $\exists a\in\Bbb R,\forall x\in\Bbb R,\ f(x)=ax$.

score 621 · Answer 6 · 2016-10-13 07:43:08

621

Views

Find all functions $f(x)$ such that $f\left(x^2+f(y)\right)$=$y+(f(x))^2$

Published on 13 Oct 2016 - 7:43

score 77 · Answer 7 · 2016-10-13 17:04:31

77

Views

Functions satisfying $f(x+f(y))=f(x+a)+y+b$

Published on 13 Oct 2016 - 17:04

score 163 · Answer 8 · 2016-10-13 17:53:42

163

Views

Let f be a function defined on $R$ such that $f(xy)=f(x)+f(y)$; $x,y $ $\in R $

Published on 13 Oct 2016 - 17:53

score 1.5k · Answer 9 · 2016-10-14 22:16:59

1.5k

Views

Real domain and range function to find all functions with nonzero x.

Published on 14 Oct 2016 - 22:16

score 367 · Answer 10 · 2016-10-14 23:26:43

Find all functions $f:\mathbb R \to \mathbb R$ that satisfy $f(x) + 3 f\left( \frac {x-1}{x} \right) = 7x$ for all nonzero $x$.

score 202 · Answer 11 · 2016-10-15 08:19:26

202

Views

What solutions are there to $f(f(x))=x^4$?

Published on 15 Oct 2016 - 8:19

score 927 · Answer 12 · 2016-10-15 22:38:11

927

Views

2015 Brazilian Math Olympiad Number theory problem

Published on 15 Oct 2016 - 22:38

score 809 · Answer 13 · 2016-10-16 22:28:41

809

Views

Find all polynomial $p(x)$ such that $p(\cos\theta) = p(\sin\theta)$ for all $\theta\in [0, 2\pi)$

Published on 16 Oct 2016 - 22:28

score 101 · Answer 14 · 2026-03-25 21:49:56

101

Views

$P(x)+P'''(x)\geq P'(x) + P''(x)$ then $P(x)>0 \, \forall x\in \mathbb R $

Published on 25 Mar 2026 - 21:49

score 141 · Answer 15 · 2016-10-22 09:11:30

141

Views

Functional equation (N to N)

Published on 22 Oct 2016 - 9:11

List Question

Equation for curve where $f(x)= f(x-1)+50 x$

Cauchy-like functional equation $f(x+g(x)y)=f(x)+f(g(0)y)-f(0)$

Solve $f(5)$ when its given the function

Most general solution to the equation $f(x) = f(1/x)$

If $f:\Bbb R\to\Bbb R$ is continuous and $\forall x,y\in\Bbb R,\ f(x+y)=f(x)+f(y)$, then $\exists a\in\Bbb R,\forall x\in\Bbb R,\ f(x)=ax$.

Find all functions $f(x)$ such that $f\left(x^2+f(y)\right)$=$y+(f(x))^2$

Functions satisfying $f(x+f(y))=f(x+a)+y+b$

Let f be a function defined on $R$ such that $f(xy)=f(x)+f(y)$; $x,y $ $\in R $

Real domain and range function to find all functions with nonzero x.

Find all functions $f:\mathbb R \to \mathbb R$ that satisfy $f(x) + 3 f\left( \frac {x-1}{x} \right) = 7x$ for all nonzero $x$.

What solutions are there to $f(f(x))=x^4$?

2015 Brazilian Math Olympiad Number theory problem

Find all polynomial $p(x)$ such that $p(\cos\theta) = p(\sin\theta)$ for all $\theta\in [0, 2\pi)$

$P(x)+P'''(x)\geq P'(x) + P''(x)$ then $P(x)>0 \, \forall x\in \mathbb R $

Functional equation (N to N)

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