Let , thenA. f (xy) = f (x) . f (y)B. f (xy) ≥ f (x) . f (y)C. f (xy) ≤ f (x) . f (y)D. None of these

Given:

To find: the relation between f(xy) and f(x).f(y)

Explanation: First we will find f(xy), for this we will replace x with xy in the given equation , we get

Now we will find f(y), for this we will replace x with y in the given equation , we get

Using this we will find the value for f(x).f(y), we get

Comparing equation (i) and (ii), we get

f(xy)≤ f(x)f(y)

So, the correct answer is option (C)

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