(a) Define the function f: R → R by f(x) = x2 - 6.
Briefly explain why f is not a 1-1 (one-to-one) function.
(b) Is the function g: Z → Z defined by g(n) = [n/2] a one to one function? (Be careful, [n/2] means the ceiling function.) Explain.
(c) Briefly explain what f-1 means, and find f-1 for part (a)