- #1
The_Iceflash
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Homework Statement
Show f(x) can be expressed as the sum of E(x) and an odd function O(x).
f(x) is defined for all x (assume domain D symmetric about 0)
[tex]f(x) = \frac{f(x)+f(-x}{2}[/tex]
Then:
How does it look if [tex]f(x) = e^x[/tex]?
Homework Equations
N/A
The Attempt at a Solution
So I got [tex]\frac{f(x)+f(-x)+f(x)-f(-x)}{2}[/tex]
as my solution for that.
From that I need to answer: How does it look if [tex]f(x) = e^x[/tex] ? I'm not sure what to do to show that.