   Chapter 8.1, Problem 12ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Suppose a function F : X → Y is one-to-one but not onto. Is F − 1 (the inverse relation for F a function? Explain your answer. Suppose a function F : X → Y is into but not one-to-one, Is F − 1 (the inverse relation for F ) a function? Explain your answer.

To determine

(a)

Whether F -1 (the inverse relation for F ) is a function or not if F is not onto.

Explanation

Given information:

A function F: X → Y is one-to-one but notonto.

Calculation:

f:xy is a one-to-one function.

It’s not true that f1:yx is a function.

For example, x={1,2}, y={1,2,3}

To determine

(b)

Whether F -1 (the inverse relation for F ) is a function or not if F is not one to one.

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started 