Let f(n) and g(n) be asymptotically nonnegative functions, and assume that f(n) = (g(n)). Using the basic definition of theta notation, show the following:

i) Show that if f(n) = (g(n)), then g(n) = (f(n)) (this will help you for part ii)

ii) Show that f(n) = (f(n) + g(n)), and g(n) = (f(n)+ g(n))