Find $f(x)$ such that $f(\frac{3}{x})+f(\frac{x}{2})=\frac{9}{x^2}+\frac{x^2}{4}-2$
63750
let $f(\frac{x}{3})+f(\frac{2}{x})=\frac{4}{x^2}+\frac{x^2}{9}-2$ then find $f(x)$
74081
Find coefficient of $x^{n}$ in $\frac{1}{(1-x)^3(1+x)^2}$
136655
Find the range of the given function $f$
155806
(Olympiad Question) $f(2x) + 2f(y) = f(f(x+y))$
117046
Show that $\frac{a^2}{\sqrt{(1+a^3)(1+b^3)}}+\frac{b^2}{\sqrt{(1+b^3)(1+c^3)}}+\frac{c^2}{\sqrt{(1+c^3)(1+a^3)}} \geq \frac{4}{3}$
113045
How do I find the inverse of $f(x) = \frac{x}{x^2 + 1}$
79170
$1 + \frac{1}{1+2}+ \frac{1}{1+2+3}+ ... + \frac{1}{1+2+3+...+n} = ?$
98255
Find $f(x)$ such that $f(f(x)) = x^2 - 2$
62055
Solve $\frac{d}{dx}f(x)=f(x-1)$
44293
Functions satisfying $f\left( f(x)^2+f(y) \right)=xf(x)+y$
103251
Solution(s) to $f(x + y) = f(x) + f(y)$ (and miscellaneous questions...)
133398
$g(x)=\sum_{n=0}^{\infty} \lceil {\frac{n+1}{2}} \rceil x^n$, find $g(\frac{1}{3})$
53024
$f(x)f(1/x)=f(x)+f(1/x)$
146753
Find $x$ such that $(x^2 + 4x + 3)^x + (2x + 4)^x = (x^2 + 4x + 5)^x$
50283
Find answer of $\frac{x}{y+z}+\frac{y}{x+z}+\frac{z}{y+x}=4$
107133
Let f(x) be a polynomial satisfying $\lim_{x \to\infty} \frac{x^4f(x)}{x^8+1}=3,$ $f(2)=5 $ and $f(3)=10$, $f(-1)=2$ and $f(-6)=37$
60456
Find the power series of $f(x)=\frac{1}{x^2+x+1}$