List questions from functional-equations

Published on 12 Apr 2026 - 11:58

965

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

Published on 10 May 2026 - 15:26

37

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Does the given function in the functional equation even exist?

Published on 11 Apr 2026 - 9:17

67

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Why Is This Function Bijective?

Published on 13 Apr 2026 - 16:25

183

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Is this conditional expectation of a differential equation increasing?

Published on 17 Apr 2026 - 4:13

221

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

Published on 17 Apr 2026 - 11:12

197

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

Published on 14 Apr 2026 - 5:21

858

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Question about functional equations

Published on 10 May 2026 - 16:07

79

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

Published on 17 Apr 2026 - 1:28

237

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

Published on 25 Mar 2026 - 9:29

89

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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 14 Apr 2026 - 23:23

130

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

Published on 15 Apr 2026 - 3:22

133

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

Published on 14 Apr 2026 - 16:20

383

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

Published on 12 Apr 2026 - 12:53

99

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

Published on 10 May 2026 - 10:58

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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