If 3f(x)-f ( 1 x )=8 _2x^3, x>0, then f(2), f(4), f(8) are in

MHT CET 2023 Mathematics question

If , , then f(2), f(4), f(8) are in

Answer: (A)

Since , write so the relation is . Replace by (then ): . Multiply the first equation by 3 and add: $9f(x)-3f(1/x)+3f(1/x)-f(x)=72L-24L⇒8f(x)=48L⇒

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Question ID VK-098076