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Q.

Let f be a function satisfying 2f(x)−3f(1/x)=x2 for any x≠0. Then the value of f(2) is

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a

-2

b

-74

c

-78

d

4

answer is B.

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Detailed Solution

2f(2)−3f(1/2)=22=42f(1/2)−3f(2)=(1/2)2=1/4⇒ 5(f(2)−f(1/2))=4−1/4=15/4⇒ f(1/2)=f(2)−3/4.So     2f(2)−3[f(2)−3/4]=4⇒      f(2)=94−4=−74
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