The folllowing formulas define functions f and g from Zk to Z for different values of k. Find formulas for fog(r) and go f(x). (a) f.g: Z15 Z15, where f(n) = (70n) 6 and g(m) = (60 m) + 2 (b) f.g: Z25 Z25, where f(n) = non and g(m) = m + 3 (c) f,g: Z7Z7, where f(n) = (30n) 5 and g(m) = (40 m) 6 (d) f.g: Z20 Z20, where f(n) = (40n) 19 and g(m) = (50m) +9 (e) f.g: ZgZq, where f(n) = (aon) b and g(m) = (com) d