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Question

If 2f(x)3f(1x)=x2(x0), then f(2) is equal to


A

74

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B

52

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C

1

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D

None of these

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Solution

The correct option is A

74


2f(x)3f(1x)=x2(x0)(1)
Replacing x by 1x:
2f(1x)3f(x)=1x2(2)
Solving equations (1) and (2)
5f(x)=3x2+2x2f(x)=15(3x2+2x2)
Thus, f(2)=15(34+2×4)
=15(3+324)
=74


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