(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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]?

2. Relevant equations

N/A

3. 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.

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# Homework Help: Analysis Proof: Sum of odd and even functions.

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