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SOLUTION
the wage for less that 40 hours of work is
[tex]12h[/tex]The wage for more than 40 hours is:
[tex]1.5\times12=18h[/tex]Therefore the piecewise function is
[tex]\begin{cases}12h{,0\lt h\le40} \\ 18h{,h\gt40}\end{cases}[/tex]