If absolute maximum value of \( f(x)=\frac{1}{|x-4|+1}+\frac{1}{|x+...

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If absolute maximum value of \( f(x)=\frac{1}{|x-4|+1}+\frac{1}{|x+8|+1} \) is \( \frac{p}{q},(p, q \) are coprime \( ) \) the
\( \mathrm{P} \) \( (p-q) \) is

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