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Let f(x) = 1/2[f(xy) + f(x/y)] for x,y i...

Let `f(x) = 1/2[f(xy) + f(x/y)]` for `x,y in R^+` such that f(1) = 0
f'(1) = 2
Answer the following question based on above passage :
f(x) - f(y) is equal to

A

`f(y/x)`

B

`f(x/y)`

C

f(2x)

D

f(2y)

Text Solution

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The correct Answer is:
B
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