How to show $(gf)^{-1} = f^{-1}g^{-1}$?
10024
How to prove $(f \circ\ g) ^{-1} = g^{-1} \circ\ f^{-1}$? (inverse of composition)
57846
Multiplicative inverse in $\operatorname{GF}(2^8)$?
146480
Example of $\deg(fg)<\deg(f)+\deg(g)$
144773
function $f(x)=x^{-(1/3)}$ , please check whether my solution is correct?
108923
What is wrong with this false proof? $-1=(-1)^1=(-1)^\frac{2}{2}=((-1)^2)^\frac{1}{2}=\sqrt{(-1)^2}=\sqrt{1}=1$
13575
Need help for proving that: $f(f^{-1}(A)) ⊆ A$
109295
Proving $1-\exp(-4x^2/ \pi) \ge \text{erf}(x)^2$
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
61782
How to prove that $f(x) = \frac{-2x+1}{(2x-1)^2-1}$ is one-to-one on $(0,1)$?
148981
Entire $f$ and $g$ constant if $e^{f(z)}+e^{g(z)}=1$
88928
$F:G\to B$ is an isomorphism between groups implies $F^{-1}$ is an isomorphism
101371
show that $f^{(3)}(c) \ge 3$ for $c\in(-1,1)$
158862
Show that $a(-1) = (-1)a = -a $.
14648
Show that $f_0 - f_1 + f_2 - \cdots - f_{2n-1} + f_{2n} = f_{2n-1} - 1$ when $n$ is a positive integer
154945
$|px^2+qx+r|\le1$ for all $x$ in $[-1; 1]$, show that $|rx^2+qx+p|\le2$ for all $x$ in $[-1; 1]$
154117
Showing $[(fg)h]_n = [f(gh)_n]$ in the linear algebra $F^\infty$
90845
Is this posible in GR $g_{ab}g^{ab}=1$?