# Thread: odd and even function

1. ## odd and even function

I tried to solve it but no results.

deduce aformula of the function
$\displaystyle f(x) = 3^x$
as asum of two functions one of them odd and the other is even.

2. Originally Posted by fxs12
I tried to solve it but no results.

deduce aformula of the function
$\displaystyle f(x) = 3^x$
as asum of two functions one of them odd and the other is even.
Consider:

$\displaystyle f(x)=\dfrac{f(x)+f(-x)}{2} + \dfrac{f(x)-f(-x)}{2}$

CB