Q. 273.7( 3 Votes )

Let , then
A. f (xy) = f (x) . f (y)

B. f (xy) ≥ f (x) . f (y)

C. f (xy) ≤ f (x) . f (y)

D. None of these

Answer :

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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