**Handwriting and Mathematical Concepts:**Please use neat handwriting and explain step by step.The following functions $ f: A \to B $ and $ g: B \to C $ both be surjective. Prove/Disprove whether $ g \circ f $ is surjective.

Answered: he following f.A>B and giB ( both be…

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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**Handwriting and Mathematical Concepts:**

Please use neat handwriting and explain step by step.

The following functions $ f: A \to B $ and $ g: B \to C $ both be surjective. Prove/Disprove whether $ g \circ f $ is surjective.

Expert Solution

Step 1

A surjective function is also known as onto function. If all element of a function’s co-domain is the image of some element of its domain then function is called surjective function. In other words, a function f: A $\to$ B is called onto or surjective if
$\forall b \in B, \exists a \in A s u c h t h a t f (a) = b$ .

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