# Determine whether the given function f ( x ) = 3 + 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 81RE
To determine

## Determine whether the given function f(x)=3+x3 is one −to − one.

Expert Solution

Therefore, f is one −to − one.

### Explanation of Solution

Given information: Consider the function f(x)=3+x3

Calculation:

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

3+x13=3+x23x13=x23x1=x2

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

Hence, f is one −to − one.

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