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Let f(x){sin pix , 0 le x le 2 and 2-x, ...

Let `f(x){sin pix , 0 le x le 2 and 2-x, 2 < x le 5, g(x) ={max(|x|, 1-|x|,|x-1|) if x in (0,1) and min(|x|, 1-|x|,|x-1|) otherwise.` Then find `f(g(x)).`

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