Prove that $f \circ g = g \circ f$ from A to A
92314
When does function composition commute?
43310
Proving $A\cap(B-C)$ is equal to $(A\cap B)-(A\cap C)$
135577
Prove the existence of $c$ such that $f'(c) = 2c(f(c) - f(0))$
72694
Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a)  g(b)$
105910
How to prove that $[G:xHx^{-1}] = [G:H]$ given $H \le G$?
130537
Proving that $d(f,g)=\|f-g\| = \sup \limits_{0\leq x \leq 1} |f(x)-g(x)|$ is a metric on $X=C[0,1]$
33030
Proof that $\inf A = -\sup(-A)$
104757
If $f \circ g$ is surjective, then f is surjective
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
52095
Prove either $G=ST$ or |$G|\geq|S|+|T|$
52135
Show that $A \setminus ( B \setminus C ) \equiv ( A \setminus B) \cup ( A \cap C )$
55232
Show that $g\circ f\equiv 0$ implies $\det Df\equiv 0$, where $g(x_1,...,x_n)=x_1^5+...+x_n^5$
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
40609
Prove that $f(X)$ and $g(Y)$ are independent if $X$ and $Y$ are independent
82935
Prove that f∈Θ(g)if and only ifO(f) =O(g).
58642
If $g \circ f$ is the identity function, then which of $f$ and $g$ is onto and which is one-to-one?
14277
Proving $f(x)=x\cdot |x|$ is a bijection