[10 points] Consider functions f: NHR+ and g: NH R+, given by the formulas f(n) 2"+2n3+n and g(n)- log2(n172+2) for all n E N (a) Is a composite function (g f)(n) well-defined? If so, show its formula. (b) Is a composite function (f g)(n) well-defined? If so, show its formula. (c) Demonstrate that f(n)-0(2") and g(n)-O(log2 n