Answered: Determine whether f : Z×Z→Z is onto if…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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How would you do this discrete math question:

Determine whether f : Z×Z→Z is onto if (m, n) = 2m − n

Expert Solution

How to prove whether f: Z x Z -> Z is onto ?

Proof Explanation:

1. When we will say that f: Z x Z -> Z is onto if (m , n) = 2m - n where Z x Z = X

F : X(domain)->Y(co-domain) is onto, when all y is set membership (∈) of Y(co-domain) i.e. ∀y ∈ Y , there exists some x in X i.e. ∃x ∈ X such that f(x) = y

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