Question

let \(\alpha\), \(\beta\) and \(\gamma\) be mappings from \(\mathbb{Z}\) to \(\mathbb{Z}\) and let \(\alpha(n)=2n\), \(\beta(n)=n+1\) let \(\gamma(n)=n^3\).

only \(\beta\) is onto and all \(\alpha\), \(\beta\) and \(\gamma\) are one to one.\[\]am i right?

Answer 1

You're right.

Answer 2

thank u