What is f(1)f(4) equal to?
Consider the following for the two (02) items that follow : The function f(x) satisfies f(\frac{x}{y})=\frac{f(x)}{f(y)} for all positive real values of x and y, and f(2)=3.
- A. 4
- B. 8
- C. 9 ✓
- D. 18
Correct Answer: C. 9
Explanation
Using f(x) = x^k with 2^k = 3, we find f(1) = 1^k = 1 and f(4) = 4^k = (2^k)^2 = 3^2 = 9. Their product is 1 \times 9 = 9.
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