   Chapter 7.2, Problem 18ES ### 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
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# In each of 15-18 a function f is defined on a set of real numbers. Determine whether or not f is one-to-one and justify your answer. f ( x ) + x + 1 x − 1 , for each real number x ≠ 1

To determine

To check:

Whether a given function f is one-to-one or not.

Explanation

Given information:

f(x)=x+1x1 for all real numbers x1.

Concept used:

In one-to-one function, distinct elements in domain are mapped with distinct elements in codomain.

Calculation:

f(x)=x+1x1 x{1}.

Suppose f(x)=f(y) for some x,y{1}.

i.e

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