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Question

f:RR is defined as f(x)=x46x2+12. The range of f(x) is


A

(,)

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B

[3,)

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C

[3,)

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D

[12,)

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Solution

The correct option is C

[3,)


f(x)=x46x2+12f(x)=(x2)22×x2×3+32+3f(x)=(x23)2+3(x23)20(x23)2+33f(x)3
The range of f(x) is [3,)


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