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If $f(x + y) \leq yf(x) + f(f(x))$ for all real numbers $x$ and $y$, then prove that $f(x) = 0$ for all $x ≤ 0$.

proof of $\sum\nolimits_{i = 1}^{n } {\prod\nolimits_{\substack{j = 1\\j \ne i}}^{n } {\frac{{x_i }}{{x_i - x_j }}} } = 1$ [duplicate]

Puzzle: The number of quadratic equations which are unchanged by squaring their roots is

Simplifying Ramanujan-type Nested Radicals

Prove that $a^2+ab+b^2\ge 0$ [duplicate]

When are algebraic expressions equivalent?

Solve $3^x + 28^x=8^x+27^x$

Which is greater $\frac{13}{32}$ or $\ln \left(\frac{3}{2}\right)$

Why is $ \sum_{n=0}^{\infty}\frac{x^n}{n!} = e^x$?

$\log_9 71$ or $\log_8 61$

Squaring both sides of an inequality of opposite signs

Why are angles in "degrees" dimensionless?

How many sewings are there on a soccer ball?

Series Question: $\sum_{n=1}^{\infty}\frac{n+1}{2^nn^2}$

Intuitive ways to get formula of cubic sum

New posts in algebra-precalculus

How to solve this equation:$\sqrt{x-\sqrt{x-\sqrt{x-\sqrt{x-5}}}}=5$

Why is the phase shift of a sin or cosine wave $c/b$? [closed]

How to prove $\sqrt[\pi]{e} < \sqrt[\pi]{\pi}<\sqrt[e]{e}< \sqrt[e]{\pi}$

Prove that $6<3^\sqrt3$ implies $3^\sqrt3 < 7$

If, $x+y=1, x^2+y^2=2$ Find $x^7+y^7=??$ [closed]

If $f(x + y) \leq yf(x) + f(f(x))$ for all real numbers $x$ and $y$, then prove that $f(x) = 0$ for all $x ≤ 0$.

proof of $\sum\nolimits_{i = 1}^{n } {\prod\nolimits_{\substack{j = 1\\j \ne i}}^{n } {\frac{{x_i }}{{x_i - x_j }}} } = 1$ [duplicate]

Puzzle: The number of quadratic equations which are unchanged by squaring their roots is

Simplifying Ramanujan-type Nested Radicals

Prove that $a^2+ab+b^2\ge 0$ [duplicate]

When are algebraic expressions equivalent?

Solve $3^x + 28^x=8^x+27^x$

Which is greater $\frac{13}{32}$ or $\ln \left(\frac{3}{2}\right)$

Why is $ \sum_{n=0}^{\infty}\frac{x^n}{n!} = e^x$?

$\log_9 71$ or $\log_8 61$

Squaring both sides of an inequality of opposite signs

Why are angles in "degrees" dimensionless?

How many sewings are there on a soccer ball?

Series Question: $\sum_{n=1}^{\infty}\frac{n+1}{2^nn^2}$

Intuitive ways to get formula of cubic sum