SOLUTION: 1. A function f is called even if f(-x)= f(x) and it is called odd if f(-x)= -f(x). Show that every function f can be written as the sum of an even function and an odd function.

Question 36056: 1. A function f is called even if f(-x)= f(x) and it is called odd if f(-x)= -f(x). Show that every function f can be written as the sum of an even function and an odd function.
Answer by kev82(151) (Show Source): You can put this solution on YOUR website!
Hi,
Let be any reasonably nice function.
Consider is it even, odd, or neither?
Similarly consider is it even, odd, or neither?
Check that and there lies your answer.
Hope that helps,
Kev
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