is the following statement ture?(adsbygoogle = window.adsbygoogle || []).push({});

A continuous function f(x) can be rewritten as f(x)=E(x)+ O(x)

where:

1) E(x)is even function and O(x) is odd function.

2) Both E(x),O(x) are continuous function too

3) f,E,O are defined in (-oo,oo)

my classmate say it is ture but can not prove it

i think it can't be right since i can't figure out a way to rewrite a power function to E(x)+ O(x). eg e^x

any good sugguestion?

thx

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Continuous function

**Physics Forums | Science Articles, Homework Help, Discussion**