Define the function f rnbsp rarr r by fx x2 - 6 briefly

Question

(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)