let $f,g:R\to \mathbb{Q}$, show that $f=g$.
82559
Showing two ring homomorphisms that agree on the integers must agree on the rationals
144589
Proving that if $f(x) \le g(x)$ then $f(x_0) \le g(x_0)$
98399
Suppose $f$ and $g$ are entire functions, and $|f(z)| \leq |g(z)|$ for all $z \in \mathbb{C}$, Prove that $f(z)=cg(z)$.
27366
Prove that $g$ is tangent to the graph of $f$
91947
Proof of $ f:I_n \rightarrow I_m \Rightarrow n = m$
39843
Let $P$ be a prime. Show that $\exists$ $x \in \mathbb{N}$ such that $f(x) = p$ then $\exists$ $y \in \mathbb{N}$ such that $g(y) = p$
69728
If $f$ divides $g$ in $S[x]$, show that $f$ divides $g$ in $R[x]$ for $R$ a sub-ring of $S$.
95806
Proving commutativity of convolution $(f \ast g)(x) = (g \ast f)(x)$
46748
If $g \circ f$ is surjective, show that $f$ does not have to be surjective?
75614
Proving that $n|m\implies f_n|f_m$
39090
Finding functions such that $f(g(x)) = f(x)g(x)$
146480
Example of $\deg(fg)<\deg(f)+\deg(g)$
46629
Prove if $f(x) = g(x)$ for each rational number x and $f$ and $g$ are continuous, then $f = g$
48537
If $\forall x \in R, x^2-x \in Z(G)$, than $R$ is commutative
58943
If $f'(x)\le g'(x)$, prove $f(x)\le g(x)$
152841
I want to show that $f(x)=x.f(1)$ where $f:R\to R$ is additive.
60348
How do I prove $F(a)=F(a^2)?$