Wednesday, 5 February 2014

question on functions

The function is defined as follows;
$f=\mathbb{Z}^{+}\times\{0,1\}\rightarrow\mathbb{Z}$ by
$$
f(n,m)=\begin{cases}n-1 & \text{if }m=0\\
-n & \text{if }m=1\end{cases}.
$$
I have to show this function is a bijection and then to find the inverse of f.



How do I start this?

Thank you.

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