An algebra problem by Muhammad Maulana

Algebra Level pending

f ( x + 5 ) f ( x ) + 5 f ( x + 1 ) f ( x ) + 1 g ( x ) = f ( x ) + 1 x f(x+5) \geq f(x) + 5 \\ f(x+1) \leq f(x) + 1 \\ g(x) = f(x) + 1 - x

It's given information on the functions in the set of real numbers, and take f ( 1 ) = 1 f(1) = 1 . Evaluate: g ( 2014 ) g(2014) .


The answer is 1.

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