Comprehension

Consider the following for the two (02) items that follow:
The function f(x) satisfies    ​for all positive real values of x and y, and f(2) = 3

What is f(1)f(4) equal to?

This question was previously asked in
NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. 4
  2. 8
  3. 9
  4. 18

Answer (Detailed Solution Below)

Option 3 : 9
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Detailed Solution

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Calculation:

Given,

The function satisfies the functional equation:

Also, we are given that:

We use the functional equation to calculate f(4) . Substituting x = 4 and y = 2 , we get:

Hence, the correct answer is Option 3.

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