Homework Help is Here – Start Your Trial Now!
Math
Algebra
f(x) = x+1 x-3

f(x) = x+1 x-3

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
Question
Show f(x) is a 1-1 function
The image contains a mathematical function presented as: \[ f(x) = \frac{x+1}{x-3} \] This represents a rational function where the numerator is \(x+1\) and the denominator is \(x-3\). This function is undefined when \(x = 3\), as the denominator becomes zero. The function may feature a vertical asymptote at \(x = 3\). If graphs or diagrams were included, they would typically display how the function behaves as \(x\) approaches 3, highlighting the asymptotic behavior.
Transcribed Image Text:The image contains a mathematical function presented as: \[ f(x) = \frac{x+1}{x-3} \] This represents a rational function where the numerator is \(x+1\) and the denominator is \(x-3\). This function is undefined when \(x = 3\), as the denominator becomes zero. The function may feature a vertical asymptote at \(x = 3\). If graphs or diagrams were included, they would typically display how the function behaves as \(x\) approaches 3, highlighting the asymptotic behavior.
Expert Solution
Step 1

Given: 

fx=x+1x-3

To prove: f(x) is 1-1

we know that,

If f(x1) = f(x2) then x1 = x2 therefore f(x) is 1-1

steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS