# Math Help - Problem

1. ## Problem

Hi

Define

$$g(x) = \left\{ \begin{array}{lll} x+2 & if & \ -3 \leq x \leq -1 \\ -x & if & -1 < x \leq 1, \\ x-2 & if & 1 \end{array} \right.$$

Now let $f(x)=g(x-6n)+ 2n$ for $6n-3 \leq x \leq 6n+3 , \ n \in \mathbb{Z}$.Prove that f takes each of it values three times

2. Originally Posted by Chandru1
Hi

Define

$g(x) = \left\{
\begin{array}{lll}
x+2 & if & \ -3 \leq x \leq -1 \\
-x & if & -1 < x \leq 1, \\
x-2 & if & 1 \end{array}
\right.
$

Now let $f(x)=g(x-6n)+ 2n$ for $6n-3 \leq x \leq 6n+3 , \ n \in \mathbb{Z}$.Prove that f takes each of it values three times
I'm tired and going to bed, but I fixed your latex.