Question 97

If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is

Name: If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is
Uploaded: July 3, 2020, 10:14 a.m.
Duration: 55 s
Description: If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is

Correct Answer: 1

Solution

f(1 * 1) = f(1)f(1)
=> f(1) = f(1)f(1)
=> f(1) = 0 or f(1) = 1
Hence maximum value of f(1) is 1

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If f(ab) = f(a)f(b) for all positive integers a and b, then the largest possible value of f(1) is

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