# When you add or subtract two even functions, what type of function will you get?

##### 1 Answer

Oct 18, 2015

It will always be an even function.

#### Explanation:

Suppose

Then by definition

So if

#h(-x) = f(-x)+g(-x) = f(x)+g(x) = h(x)#

#j(-x) = f(-x)-g(-x) = f(x)-g(x) = j(x)#

So both