How would I solve this math problem on functions?

2014-09-28T18:40:31Z

I have quite a few problems like this for homework, but I just need help working out the first one and then I'll be (hopefully) okay with the next ones.

Suppose g is an even function and f is any function. Show that fog is an even function.

Homeworkwimp2014-09-28T18:48:03Z

fog(-x) = f(g(-x)) = f(g(x)) = fog(x)
so fog is even.