Question

Finding $f(5)$ if $f(2a-b) = f(a) \cdot f(b)$ for all a and b, where $f(x)≠0$

score 367 · Answer 1 · 2018-09-26 17:13:01

367

Views

Finding $f(5)$ if $f(2a-b) = f(a) \cdot f(b)$ for all a and b, where $f(x)≠0$

Published on 26 Sep 2018 - 17:13

score 37 · Answer 2 · 2018-09-26 22:30:37

37

Views

Iterative function $f^i(n)=3n$ where $n\in\mathbb{N} \setminus \{ 2^i \}$ never reaches $2^x$

Published on 26 Sep 2018 - 22:30

score 40 · Answer 3 · 2018-09-27 16:26:17

40

Views

Function$f(x)={2x+3xf(x)\over x-1}$ is one to one and an onto function. what is the codomain of f(x)?

Published on 27 Sep 2018 - 16:26

score 69 · Answer 4 · 2018-09-28 21:55:55

69

Views

Non-monotic Function $f(x)$ such that $f\circ f(x) =9x+4$

Published on 28 Sep 2018 - 21:55

score 40 · Answer 5 · 2018-09-30 05:47:47

40

Views

Finding continuous funcions satisfying the condition $|f(x)-\sin(x)|=|x|$

Published on 30 Sep 2018 - 5:47

score 465 · Answer 6 · 2018-10-02 09:32:30

465

Views

Find smallest possible degree of $f(x)$ from given conditions

Published on 02 Oct 2018 - 9:32

score 238 · Answer 7 · 2018-10-05 14:25:59

238

Views

Does there exist a function $ f $ such that $ f ( x ) $ is an integer for only finitely many values of $ x $?

Published on 05 Oct 2018 - 14:25

score 137 · Answer 8 · 2018-10-06 10:41:19

Find all the functions in $\mathbb{R}$, satisfying the given equation $(x+y)(f(x)-f(y)) = (x-y)f(x+y)$ for all $x,y$ in $\mathbb{R}$.

score 165 · Answer 9 · 2018-10-06 14:51:28

165

Views

Find all functions $f\colon \Bbb R\to \Bbb R$ such that $f(1-f(x)) = x$ for all $x \in \Bbb R$

Published on 06 Oct 2018 - 14:51

score 161 · Answer 10 · 2018-10-07 18:23:45

161

Views

A solution for $f(ax+b)=f(x)+1$

Published on 07 Oct 2018 - 18:23

score 40 · Answer 11 · 2018-10-07 22:35:09

40

Views

Method for solution to a recurrence

Published on 07 Oct 2018 - 22:35

score 93 · Answer 12 · 2018-10-09 09:40:56

93

Views

Functional Equation: $f(x\cdot y)=f(x)+f(y)~~~\forall x, y>0$

Published on 09 Oct 2018 - 9:40

score 77 · Answer 13 · 2018-10-09 19:42:31

77

Views

Continuity proof using $f(x+y) = f(x) + f(y)$ ($3$ parts, last part!)

Published on 09 Oct 2018 - 19:42

score 90 · Answer 14 · 2018-10-10 20:01:26

90

Views

find all the functions $f:\mathbb{R}→\mathbb{R}$ such that $f(1)=1$ and $f(xy+f(x))=xf(y)+f(x)$

Published on 10 Oct 2018 - 20:01

score 137 · Answer 15 · 2018-10-11 18:35:09

137

Views

Let $f$ be a function $f : \mathbb{N} \to \mathbb{N}$ such that $f(2x+3y)=f(x)f(y)$, determine $f$

Published on 11 Oct 2018 - 18:35

List Question

Finding $f(5)$ if $f(2a-b) = f(a) \cdot f(b)$ for all a and b, where $f(x)≠0$

Iterative function $f^i(n)=3n$ where $n\in\mathbb{N} \setminus \{ 2^i \}$ never reaches $2^x$

Function$f(x)={2x+3xf(x)\over x-1}$ is one to one and an onto function. what is the codomain of f(x)?

Non-monotic Function $f(x)$ such that $f\circ f(x) =9x+4$

Finding continuous funcions satisfying the condition $|f(x)-\sin(x)|=|x|$

Find smallest possible degree of $f(x)$ from given conditions

Does there exist a function $ f $ such that $ f ( x ) $ is an integer for only finitely many values of $ x $?

Find all the functions in $\mathbb{R}$, satisfying the given equation $(x+y)(f(x)-f(y)) = (x-y)f(x+y)$ for all $x,y$ in $\mathbb{R}$.

Find all functions $f\colon \Bbb R\to \Bbb R$ such that $f(1-f(x)) = x$ for all $x \in \Bbb R$

A solution for $f(ax+b)=f(x)+1$

Method for solution to a recurrence

Functional Equation: $f(x\cdot y)=f(x)+f(y)~~~\forall x, y>0$

Continuity proof using $f(x+y) = f(x) + f(y)$ ($3$ parts, last part!)

find all the functions $f:\mathbb{R}→\mathbb{R}$ such that $f(1)=1$ and $f(xy+f(x))=xf(y)+f(x)$

Let $f$ be a function $f : \mathbb{N} \to \mathbb{N}$ such that $f(2x+3y)=f(x)f(y)$, determine $f$

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