Homework Help is Here – Start Your Trial Now!
Math
Algebra
Find the domain of the following function. Do not use a graphing calculator f(x) = 1 x2 - 5x - 6 The domain is (Type your answer in interval notation.) ***

Find the domain of the following function. Do not use a graphing calculator f(x) = 1 x2 - 5x - 6 The domain is (Type your answer in interval notation.) ***

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
icon
Related questions
Question
**Finding the Domain of a Rational Function** **Problem Statement** Find the domain of the following function. Do not use a graphing calculator. **Function** \[ f(x) = \frac{1}{x^2 - 5x - 6} \] **Instructions** Determine the domain of the function by identifying the values of \( x \) for which the denominator is not equal to zero. Provide your answer in interval notation. **Domain Answer Box** \[ \text{The domain is } \_\_\_\_\_ \] *(Type your answer in interval notation.)* **Tools and Resources** - View an example - Get more help **User Interface Elements** - "Clear all" button - "Skill builder" button Explore the steps to find the domain: 1. Set the denominator equal to zero: \( x^2 - 5x - 6 = 0 \). 2. Solve for \( x \) where the function is undefined. 3. Exclude these \( x \)-values from the real number set to determine the domain. 4. Express the domain using interval notation. **Solution Outline** 1. Factor the quadratic equation \( x^2 - 5x - 6 = 0 \) to find the critical points where the function is undefined. 2. Identify the intervals where the function is defined. 3. Write these intervals in interval notation as the domain.
Transcribed Image Text:**Finding the Domain of a Rational Function** **Problem Statement** Find the domain of the following function. Do not use a graphing calculator. **Function** \[ f(x) = \frac{1}{x^2 - 5x - 6} \] **Instructions** Determine the domain of the function by identifying the values of \( x \) for which the denominator is not equal to zero. Provide your answer in interval notation. **Domain Answer Box** \[ \text{The domain is } \_\_\_\_\_ \] *(Type your answer in interval notation.)* **Tools and Resources** - View an example - Get more help **User Interface Elements** - "Clear all" button - "Skill builder" button Explore the steps to find the domain: 1. Set the denominator equal to zero: \( x^2 - 5x - 6 = 0 \). 2. Solve for \( x \) where the function is undefined. 3. Exclude these \( x \)-values from the real number set to determine the domain. 4. Express the domain using interval notation. **Solution Outline** 1. Factor the quadratic equation \( x^2 - 5x - 6 = 0 \) to find the critical points where the function is undefined. 2. Identify the intervals where the function is defined. 3. Write these intervals in interval notation as the domain.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 5 images

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