Injective restriction of $f(x) = \frac{ax-b}{cx-d}$
71156
$f(x) = \frac {ax+b}{cx+d}$ , bijection $f: \Bbb R \to\Bbb R$?
24553
$f$ has the form $f(x) =ax^2+bx+c$.
28798
Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
87723
Show a holomorphic function on unit disc with with $|f'(z) - f'(0)| < |f'(0)|$ is injective
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
139111
Prove that $a<c<b$, $\frac{f(b)-f(a)-(b-a)f'(a)}{g(b)-g(a)-(b-a)g'(a)}=\frac{f"(c)}{g"(c)}$
91786
Proving and disproving $\exists b,c\in \mathbb R$ such that $f(x)=\frac a2x^2+bx+c $
88278
Show $S = f^{-1}(f(S))$ for all subsets $S$ iff $f$ is injective
13270
Prove $\exists \xi \in (a,b):f'(\xi)<1+f^2(\xi)$
64866
Proving a Composition of Functions is Bijective
45219
Proving that $C$ is a subset of $f^{-1}[f(C)]$
14277
Proving $f(x)=x\cdot |x|$ is a bijection
10253
Proving that all entire & injective functions take the form $f = ax + b$?
148833
Why can't an analytic function be injective in a neighborhood of an essential singularity?
14830
A transformation of F[x]
65977
Showing function is injective iff $f(M_1 \cap M_2) = f(M_1)\cap f(M_2)$
62219
Under what conditions is the exponential map on a Lie algebra injective?