Functions

5:40

Solving the Functional Equation f(x-y)=f(x)f(y)SyberMath

6:20

Solving the Functional Equation f(x - y) = f(x) - f(y)SyberMath

3:55

Solving A Quick and Fun Functional EquationSyberMath

8:21

A Cubic Functional Equation Solved in Two/Three WaysSyberMath

6:10

Solving the Functional Equation f(x+y)=xf(y)SyberMath

7:53

A Functional Equation f(x+y)=f(x)+f(y)-xySyberMath

8:59

Solving a Suggested Functional EquationSyberMath

8:15

Solving the differential equation xy'+2y=x^3SyberMath

5:50

Solving the Functional Equation f(xy+1)=xf(y)-f(x)+6SyberMath

6:00

Solving the functional equation f[x+f(y)]=x+y+1SyberMath

12:09

A Nice Functional Equation [f(x+y)=f(x)+f(y)+2xy]SyberMath

10:10

Solving a Non-Standard Radical EquationSyberMath

10:17

Solving the Functional Equation f(x+y)=f(x)f(y)SyberMath

6:55

A Functional Equation with Two FunctionsSyberMath

8:48

A Polynomial Functional System of EquationsSyberMath

12:42

A Cool Functional EquationSyberMath

12:06

A Functional Equation from Putnam and BeyondSyberMath

6:48

A Quick and Easy Functional EquationSyberMath

7:20

A Functional Equation with Golden FlavorSyberMath

8:43

Solving A Quadratic Functional EquationSyberMath

5:46

Solving a Quick and Easy Functional EquationSyberMath

6:52

Solving a Rational Functional EquationSyberMath

10:35

Solving a Functional EquationSyberMath

6:28

Solving P(x+1) - P(x) = x, a Polynomial EquationSyberMath

9:26

Solving A Functional System of Equations in Two WaysSyberMath

6:24

A Quick and Easy Functional Equation from SloveniaSyberMath

9:13

Solving f(x+y)=f(x)+f(y)+2xy in Two WaysSyberMath

8:49

Solving Two Functional EquationsSyberMath

10:01

f(x+sqrt(x))=x-sqrt(x). Finding f(12) in Two WaysSyberMath

5:39

Solving Another Functional System of Equations in Two WaysSyberMath

8:54

Solving a Homemade Functional Equation 1SyberMath

11:52

A Functional Equation from Indian National Math OlympiadSyberMath

9:22

Solving Jensen's Functional EquationSyberMath

7:09

Solving f(x/y)=f(x)/f(y), A Nice Functional EquationSyberMath

5:59

Solving f(xy)=f(x)-f(1/y)SyberMath

8:41

A Functional Equation Inspired by Singapore Math OlympiadsSyberMath

8:35

Solving f(x+1/x)=x-1/xSyberMath

8:50

A Rational Functional Equation Solved in Two WaysSyberMath

8:50

A Rational Functional Equation Solved in Two WaysSyberMath

8:32

A Functional Equation from British Math Olympiads 2009SyberMath

6:18

Solving a Quick and Easy Functional EquationSyberMath

11:55

Solving Cauchy's Functional Equation When f is DifferentiableSyberMath

6:27

Solving a Nice Functional EquationSyberMath

9:15

Solving a Radical Functional Equation in Two WaysSyberMath

3:26

Solving f(xy)=xf(y) in Two WaysSyberMath

8:05

Solving f(sqrt(x^2+y^2))=f(x)f(y)SyberMath

11:46

Evaluating f(x+1/x)=x^65+1/x^65SyberMath

5:42

Solving A Quick Functional Equation in Two WaysSyberMath

9:48

Solving an Interesting Functional EquationSyberMath

8:34

Finding f(0) When f(f(x))=x^2-x+1SyberMath

8:03

Evaluating the Function f(x)=1/[sqrt(x+1)+sqrt(x)]SyberMath

8:17

Solving a Quick and Easy Functional EquationSyberMath

11:17

Solving f(x+1/x)=x^5+1/x^5 in Three WaysSyberMath

10:25

Solving a Homemade Functional Equation in Two WaysSyberMath

5:37

Solving f((2x-1)/2)=x^2-x, a Functional EquationSyberMath

8:36

Solving f(x)=yf(xy) in Two/Three WaysSyberMath

5:11

Evaluating a Functional ExpressionSyberMath

5:20

Solving a Quick and Easy Homemade Functional EquationSyberMath

8:08

A Functional System with Rational FunctionsSyberMath

4:40

Evaluating f(xy)=f(x)+f(y)-1SyberMath

8:31

Solving f(x^3+3x^2+3x)=x in Two WaysSyberMath

5:50

Solving the Functional Equation f(f(x)+y)=x/(1+xy)SyberMath

8:21

Solving xf(x)+f(1-x)=xSyberMath

10:56

Solving f(x^3+1/x^3)=xSyberMath

4:23

Find f(6)+f(11) if f(x+2^x)=xSyberMath

6:55

Solving f(x-f(y))=1-x-ySyberMath

6:09

Solving f(x^y)=yf(x) | A Functional EquationSyberMath

8:58

Solving a Functional Equation | f(x)+f(x-1)=x^2SyberMath

8:43

A Functional Equation With RadicalsSyberMath

4:23

A Piecewise-Defined Functional EquationSyberMath

5:37

A Cool Functional EquationSyberMath

5:02

Evaluating A Function | 2f(5-x)=f(x)-x^2SyberMath

4:44

Evaluating A Rational Function for x=5SyberMath

8:44

A Nice Functional EquationSyberMath

7:41

Evaluating Functions | Can we find f(x)?SyberMath

9:49

Solving A Nice Functional EquationSyberMath

5:39

A Functional Equation with An IntegralSyberMath

3:54

Working with Functions | Math OlympiadsSyberMath

8:14

A Very Nice Functional Equation on RealsSyberMath

8:43

Solving A Homemade Functional EquationSyberMath

9:35

A Homemade Functional EquationSyberMath

8:57

A Functional Equation | f(xy)=xf(y)+yf(x)SyberMath

8:28

A Curious Functional Equation | Math OlympiadsSyberMath

5:06

A Nice and Easy Functional EquationSyberMath

8:57

A Problem with Functions | #functions #algebraSyberMath

7:25

How to Compose Functions | Connection to Radicals?SyberMath

8:09

I Made Up A Functional Equation and Solved ItSyberMath

8:56

I Solved A Homemade Functional Equation in Two WaysSyberMath

8:19

I Found f(0) From A Functional EquationSyberMath

9:49

I Solved A Homemade Functional EquationSyberMath

8:41

I Solved A Functional Equation in Two WaysSyberMath

9:15

Solving A Functional Equation with Derivatives | Math OlympiadSyberMath

4:28

Let's Solve A Functional EquationSyberMath

8:23

Evaluating A Function in Three WaysSyberMath

11:25

A Very Powerful Differential Equation 😊SyberMath

9:14

An Interesting Functional EquationSyberMath

10:13

A Homemade Functional Equation | Math OlympiadsSyberMath

8:15

This Equation Will Make You Better at FunctionsSyberMath

8:20

A Nice Homemade Functional EquationSyberMath

8:33

A Functional Equation from Crux MathematicorumSyberMath

10:38

An Olympiad Problem from Poland 🇵🇱SyberMath

9:44

A Heptic Functional EquationSyberMath

8:47

Can We Find The Inverse of A Cubic Function?SyberMath

8:46

A Functional Equation from Samara Math OlympiadsSyberMath

9:30

A Cubic Functional Equation With Nice Results 😄SyberMath

9:12

A Cool Functional EquationSyberMath

10:18

A Fun Functional EquationSyberMath

8:30

Finding The Inverse of x + ln(x)SyberMath

9:05

A Function Problem Inspired by APMOSyberMath

8:54

Finding f(-1) in A Functional Equation from Türkiye 🇹🇷SyberMath

9:47

A Homemade Functional Equation from ‪@SyberMath‬ 😁SyberMath

9:41

A Functional Equation from ‪@SyberMath‬ 😜SyberMath

11:06

A Fun Polynomial EquationSyberMath

9:12

A Fun Homemade Functional EquationSyberMath

10:07

Can We Find The Inverse Of A Cubic Function?SyberMath

8:49

A Homemade Functional EquationSyberMath

11:36

A Fun Functional EquationSyberMath

9:40

An Interesting Homemade Functional EquationSyberMath

9:27

A Homemade (Fun)ctional EquationSyberMath

8:27

関数方程式のシステムSyberMath

11:36

興味深い関数方程式SyberMath

8:55

興味深い関数方程式SyberMath

9:56

興味深い関数方程式SyberMath

12:44

非常に興味深い関数方程式SyberMath

8:37

素晴らしい関数方程式SyberMath

10:32

楽しい関数方程式SyberMath

12:20

クールな関数 | f(500) を評価できますか?SyberMath

11:22

3次関数方程式SyberMath

10:24

根号関数方程式を覗いてみようSyberMath

8:20

Quadratic Functions Meet Irrational NumbersSyberMath

10:38

Feels Like Math Magic ✨SyberMath

12:22

From Cubic Chaos to Clean Inverse – Watch This!SyberMath

8:15

Can You Unwrap This Function?SyberMath

11:13

This Equation Breaks Minds!SyberMath

8:19

Unlock the Function!SyberMath