Consider three functions f, g, and h, whose domain and target are Z. Let f(c) = x², g(w) = 3, and h(z) = [2¹].
(a) Evaluate (f o g)(2).
(b) Evaluate (f o h)(15).
(c) Evaluate (g o h o f)(1).
(d) Give a mathematical expression for h o g.
(e) Give a mathematical expression for f o h.