composition of an even function and an odd function is even
Is "composition order" significant here?
Let $f(x)$ - odd, $g(x)$ - even
It means only $f(g(x))$ is sure to be even?
Or both "$f(g(x))$ is sure to be even" and "$g(f(x))$ is sure to be even" ?
P.S. When a mathematician says "composition of F and G functions" - is it always 100% unambiguous? What is it? G(F(x)) ? First-mentioned function (F) is calculated first (so being "innermost")?