SOLUTION: Let f be a function such that f(x+y) = x + f(y) for any two real numbers x and y. If f(0) = 2, then what is f(2012)?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Let f be a function such that f(x+y) = x + f(y) for any two real numbers x and y. If f(0) = 2, then what is f(2012)?      Log On


   

Question 834865: Let f be a function such that f(x+y) = x + f(y) for any two real numbers x and y. If f(0) = 2, then what is f(2012)?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = 2012, y = 0. Then