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Question

f(x)=x23x+4x2+3x+4 then range of f(x) is

A
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B
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C
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Solution

The correct option is C
y=x23x+4x2+3x+4yx2+3xy+4y=x23x+4x2(y1)+3x(y+1)+4(y1)=0Dis 109(y+1)24×4(y1)20(3(y+1)4(y1)3(y+1)44(y1)0)(y+7)(7y1)0(y7)(y17)017y7

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