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Let X be the set of all positive integers greater then or equal to 8 and let f: X X be a function such that f(x+y)=f(x y) for all x 4, y 4 . If f(8)=9 then f(9) is equal to

Correct answer

9

Step-by-step solution

aligned & f(9)=f(4+5)=f(4.5)=f(20) & =f(16+4)=f(16.4)=f(64) & =f(8.8)=f(8+8)=f(16) & =f(4.4)=f(4+4)=f(8) aligned

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