Mathematics Homework Solutions
Problem
#256536

Discrete Functions : Inverses and One-to-one Functions

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(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) =   a one to one function?  (Be careful,   means the ceiling function.)  Explain.

(c) Briefly explain what f-1 means, and find f-1 for part (a)

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