Let $f:\mathbb{R} \rightarrow \mathbb{R}$ and $ f(x + y) = f(x) + f(y)$.
How can I show that $f$ is continuous, when $f$ is continuous at $f(0)$?
I have injection $f \colon A \rightarrow B$ and I want to get bijection. Can I just resting codomain to $f(A)$? I know that every function i...
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