Question

Functions satisfying $g(1 - g(x)) = x$

score 208 · Answer 1 · 2026-04-16 08:49:12

208

Views

Functions satisfying $g(1 - g(x)) = x$

Published on 16 Apr 2026 - 8:49

score 109 · Answer 2 · 2026-04-15 08:09:56

109

Views

Existence of function such that $f(x)=1+\alpha\int_x^1f(t)f(t-x)dt.$

Published on 15 Apr 2026 - 8:09

score 105 · Answer 3 · 2026-04-16 02:59:55

105

Views

Real analysis- Finding all the possible, $f:\mathbb{R}\rightarrow \mathbb{R}$

Published on 16 Apr 2026 - 2:59

score 83 · Answer 4 · 2026-04-09 19:26:08

83

Views

Problem on Definite Integration and functions

Published on 09 Apr 2026 - 19:26

score 1k · Answer 5 · 2026-04-17 07:52:26

1k

Views

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

Published on 17 Apr 2026 - 7:52

score 597 · Answer 6 · 2026-04-10 05:18:08

597

Views

Functional Equation satisfying f(2x)=f(x)

Published on 10 Apr 2026 - 5:18

score 214 · Answer 7 · 2026-04-15 23:20:53

214

Views

Find all functions such that $f(1+xf(y))=yf(x+y)$ where $x,y \in R^+$

Published on 15 Apr 2026 - 23:20

score 240 · Answer 8 · 2026-04-17 18:09:30

240

Views

Given $f(z)$ can you find $g(z)$ such that $g(z+1) = f(z) + g(z)$

Published on 17 Apr 2026 - 18:09

score 1.1k · Answer 9 · 2026-04-17 06:25:02

1.1k

Views

Find all functions $f:\mathbb R\to\mathbb R$ such that $f\big(x+f(y)\big)=f(x+y^n)+f\big(y^n-f(y)\big),\ \forall x,y\in\mathbb R$

Published on 17 Apr 2026 - 6:25

score 168 · Answer 10 · 2026-04-16 23:35:54

168

Views

Solve Functional Equation $3f(x)=f\left(\frac{x}{3}\right)+f\left(\frac{1+x}{3}\right)$

Published on 16 Apr 2026 - 23:35

score 96 · Answer 11 · 2026-04-11 03:16:33

96

Views

Functional equation; Find $p(x)$

Published on 11 Apr 2026 - 3:16

score 203 · Answer 12 · 2026-04-29 12:42:37

203

Views

Solving for a function inside a convolution

Published on 29 Apr 2026 - 12:42

score 67 · Answer 13 · 2026-04-15 18:00:01

67

Views

Find all function $f:\Bbb{N}_0 \rightarrow \Bbb{N}_0 $ satisfying the equation $f(f(n) + f(n) = 2n +3k,$ where $k$ is a fixed natural number

Published on 15 Apr 2026 - 18:00

score 103 · Answer 14 · 2026-04-17 00:44:11

103

Views

Finding all functions that satisfy $ f(x) +3f\left(\frac{1}{x}\right) = x^2 $

Published on 17 Apr 2026 - 0:44

score 417 · Answer 15 · 2026-04-16 12:30:10

417

Views

Converse of Taylor's Theorem

Published on 16 Apr 2026 - 12:30

List Question

Functions satisfying $g(1 - g(x)) = x$

Existence of function such that $f(x)=1+\alpha\int_x^1f(t)f(t-x)dt.$

Real analysis- Finding all the possible, $f:\mathbb{R}\rightarrow \mathbb{R}$

Problem on Definite Integration and functions

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

Functional Equation satisfying f(2x)=f(x)

Find all functions such that $f(1+xf(y))=yf(x+y)$ where $x,y \in R^+$

Given $f(z)$ can you find $g(z)$ such that $g(z+1) = f(z) + g(z)$

Find all functions $f:\mathbb R\to\mathbb R$ such that $f\big(x+f(y)\big)=f(x+y^n)+f\big(y^n-f(y)\big),\ \forall x,y\in\mathbb R$

Solve Functional Equation $3f(x)=f\left(\frac{x}{3}\right)+f\left(\frac{1+x}{3}\right)$

Functional equation; Find $p(x)$

Solving for a function inside a convolution

Find all function $f:\Bbb{N}_0 \rightarrow \Bbb{N}_0 $ satisfying the equation $f(f(n) + f(n) = 2n +3k,$ where $k$ is a fixed natural number

Finding all functions that satisfy $ f(x) +3f\left(\frac{1}{x}\right) = x^2 $

Converse of Taylor's Theorem

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