f(x)=x^(2)-4|x|andg(x)={{:("min"[f(t):-6...

`f(x)=x^(2)-4|x|andg(x)={{:("min"[f(t):-6letlex}","x in[-6,0],),("max"{f(t):0letlex}","x in (0,6],):}`
Minimum value of g(x) is

`-4`

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