List questions from functional-equations

Published on 24 Mar 2026 - 19:08

961

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For $f(x)f(y)+f(3/x) f(3/y)=2f(xy)$ choose correct choices

Published on 17 Apr 2018 - 19:36

34

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Does the given function in the functional equation even exist?

Published on 18 Apr 2018 - 9:59

64

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Why Is This Function Bijective?

Published on 18 Apr 2018 - 15:06

180

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Is this conditional expectation of a differential equation increasing?

Published on 20 Apr 2018 - 19:28

216

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Functional equation, find particular value given $f(ab)=bf(a)+af(b)$

Published on 21 Apr 2018 - 12:59

194

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Find all solutions to $f(x+f(x))=2x$

Published on 22 Apr 2018 - 7:19

854

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Question about functional equations

Published on 24 Apr 2018 - 0:49

76

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Rational Functional Equation: $3 f \left( \frac{1}{x} \right) + \frac{2f(x)}{x} = x^2$

Published on 24 Apr 2018 - 1:27

236

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Find $f'(0)$ if $f(x)+f(2x)=x\space\space\forall x$

Published on 28 Apr 2018 - 12:07

87

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Finding cumulative distribution function satisfying $ P(X \leq x \:\cup \: Y \leq y) = P(X+Y \leq x + y) $

Published on 29 Apr 2018 - 10:08

127

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Continuous functions satisfying $2f(x) = f(2x)$

Published on 30 Apr 2018 - 7:11

130

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For fixed $n \in \mathbb{R}$, what are all the continuous functions that satisfy $nf(x) = f(nx)$?

Published on 01 May 2018 - 0:35

380

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Functional Equation $f(x+f(x))=x+f(x)$

Published on 02 May 2018 - 1:56

90

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Is there an analytic proof of change of bases in logarithms?

Published on 22 Mar 2026 - 19:30

List Question

Finding the closed-form expression of x

For $f(x)f(y)+f(3/x) f(3/y)=2f(xy)$ choose correct choices

Does the given function in the functional equation even exist?

Why Is This Function Bijective?

Is this conditional expectation of a differential equation increasing?

Functional equation, find particular value given $f(ab)=bf(a)+af(b)$

Find all solutions to $f(x+f(x))=2x$

Question about functional equations

Rational Functional Equation: $3 f \left( \frac{1}{x} \right) + \frac{2f(x)}{x} = x^2$

Find $f'(0)$ if $f(x)+f(2x)=x\space\space\forall x$

Finding cumulative distribution function satisfying $ P(X \leq x \:\cup \: Y \leq y) = P(X+Y \leq x + y) $

Continuous functions satisfying $2f(x) = f(2x)$

For fixed $n \in \mathbb{R}$, what are all the continuous functions that satisfy $nf(x) = f(nx)$?

Functional Equation $f(x+f(x))=x+f(x)$

Is there an analytic proof of change of bases in logarithms?

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