What is the ratio of two odd functions?

Answer 1

What is the ratio of two odd functions? Ans: f, g are odd func on the same domain D. Let r = f / g, assuming g non zero everywhere on D. r(-x) = f(-x) / g(-x) = -f(x) / [-g)(x)] = f(x) / g(x) = r(x), and so r is an even function.