# Determine whether the given function r ( x ) = 2 + x + 3 is one −to − one.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2, Problem 84RE
To determine

## Determine whether the given function r(x)=2+x+3 is one −to − one.

Expert Solution

Therefore, r is one −to − one.

### Explanation of Solution

Given information: Consider the function r(x)=2+x+3

Calculation:

Suppose that the numbers x1 and x2 such that r(x1)=r(x2) then,

2+x1+3=2+x2+3x1+3=x2+3x1+3=x2+3x1=x2

Recall the definition of one −to − one, suppose that the numbers x1 and x2 such that r(x1)=r(x2)x1=x2

Hence, r is one −to − one.

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