Assignment:
(a) Define the function f: R-->R by f(x) = x3 + 4. Briefly explain why f is a 1-1 (one-to-one) function. No proof necessary, just an explanation in some detail
(b) Is the function g: R -->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 in general and then find f-1 for the function f in part a.
Provide complete and step by step solution for the question and show calculations and use formulas.