Question

Suppose that f is an even function and g is an odd function. Are the following functions odd, even or neither?

Answer 1

h(x) = f(x) + g(x)
k(x) = f(x) * g(x)
l(x) = f(g(x))

Answer 2

I would have said in the following order: neither, odd, even... Is that correct?

Answer 3

neither for first one

Answer 4

odd for second one, so far so good

Answer 5

even for last one
three for three!