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Let $f$ be a function satisfying $2 f (x) - 3 f (1 / x) = x^{2}$ for any $x \neq 0 .$ Then the value of $f (2)$ is

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Correct option is B

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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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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Let $f$ be a function satisfying $2 f (x) - 3 f (1 / x) = x^{2}$ for any $x \neq 0 .$ Then the value of $f (2)$ is