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$Let f (x) = min . {4 x + 1, x + 2, - 2 x + 4} . Then the maximum value of f (x) is$

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Correct option is D

f x= boundary of the shaded region fx maximum value =83 solve the equations y=x+2 and y=-2x+4

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Let f(x)=min.{4x+1,x+2,−2x+4}. Then the maximum value of f(x) is

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$Let f (x) = min . {4 x + 1, x + 2, - 2 x + 4} . Then the maximum value of f (x) is$