×
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.3 - Problem 23e
Get Full Access to Discrete Mathematics And Its Applications - 7 Edition - Chapter 2.3 - Problem 23e

×

# Solved: Determine whether each of these functions is a

ISBN: 9780073383095 37

## Solution for problem 23E Chapter 2.3

Discrete Mathematics and Its Applications | 7th Edition

• Textbook Solutions
• 2901 Step-by-step solutions solved by professors and subject experts
• Get 24/7 help from StudySoup virtual teaching assistants

Discrete Mathematics and Its Applications | 7th Edition

4 5 1 234 Reviews
28
1
Problem 23E

Determine whether each of these functions is a bijection from $$\mathbf{R}$$ to $$\mathbf{R}$$.

a) $$f(x)=2 x+1$$

b) $$f(x)=x^{2}+1$$

c) $$f(x)=x^{3}$$

d) $$f(x)=\left(x^{2}+1\right) /\left(x^{2}+2\right)$$

Equation Transcription:

Text Transcription:

R

f(x)=2x+1

f(x)=x^2+1

f(x)=x^3

f(x)=(x^2+1/(x^2+2)

Step-by-Step Solution:

Solution:

Step 1 :

We have to check weather the following function are bijection from .

given functions are

(a)

Ans :

First check the given function is one-one

Such that

.’. The given function is one-one.

next we to check the onto

In the given function the range is real numbers

.’. The function is onto

Hence the function is bijective.

Step 2 of 4

Step 3 of 4

##### ISBN: 9780073383095

The full step-by-step solution to problem: 23E from chapter: 2.3 was answered by , our top Math solution expert on 06/21/17, 07:45AM. The answer to “?Determine whether each of these functions is a bijection from $$\mathbf{R}$$ to $$\mathbf{R}$$.a) $$f(x)=2 x+1$$b) $$f(x)=x^{2}+1$$c) $$f(x)=x^{3}$$d) $$f(x)=\left(x^{2}+1\right) /\left(x^{2}+2\right)$$Equation Transcription:Text Transcription:R f(x)=2x+1 f(x)=x^2+1 f(x)=x^3 f(x)=(x^2+1/(x^2+2)” is broken down into a number of easy to follow steps, and 25 words. This textbook survival guide was created for the textbook: Discrete Mathematics and Its Applications, edition: 7. Since the solution to 23E from 2.3 chapter was answered, more than 400 students have viewed the full step-by-step answer. Discrete Mathematics and Its Applications was written by and is associated to the ISBN: 9780073383095. This full solution covers the following key subjects: bijection, determine, functions, these, whether. This expansive textbook survival guide covers 101 chapters, and 4221 solutions.

#### Related chapters

Unlock Textbook Solution