- #1

- 69

- 0

## Main Question or Discussion Point

Hi, i've been looking at Fourier transforms, odd and even functions and such recently. But i'm a little confused about how exactly you split a function up. I know the general forumla and seen the derivation, however when i do it with a proper function i never seem to get the correct answer. Was hoping someone might be able to illustrate with the following example how they obtained the final answer, explaining while going would be a huge benefit and i'm grateful for any guidance that can be offered.

For example;

Split the function f(x) = (1 + x) e^

x

into odd and even parts. Express your result in

terms of x, cosh x and sinh x.

The general forumla from the Mary boas Maths/Physics book;

f(x) = ((f(x) + f(-x))/2) + ((f(x)-f(-x))/2)

Thanks again.

For example;

Split the function f(x) = (1 + x) e^

x

into odd and even parts. Express your result in

terms of x, cosh x and sinh x.

The general forumla from the Mary boas Maths/Physics book;

f(x) = ((f(x) + f(-x))/2) + ((f(x)-f(-x))/2)

Thanks again.