If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is
Explanation:
Let f(1) = x
Suppose f(1 × 1) = f(1) × f(1) ∴ f(1) = f(1) × f(1) ⇒ x = x × x ⇒ x2 = x ⇒ x = 1 or x = 0
But the highest value of x = 1
Hence, 1.
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