Prove Every Function Can Be Written as the Sum of an Even and Odd Function

How to prove that every function can be broken down into the sum of an even and odd function.
For even functions f(-x) = f(x)
For odd functions f(-x) = -f(x)
This is a useful technique for simplifying problems especially in the field of integration
Chapters
0:00 Suppose f(x) = E(x) + O(x)
0:54 Derive expressions for E(x) and O(x)
3:03 Prove E(x) and O(x) are even and odd respectively

[@ElectricTeaCup]

Thank you silent sensei!

[@thatomofolo452]

👍👍😃