/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q27. State the excluded values for ea... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q27. (page 728)

State the excluded values for each function.

y=106x2+7x鈭�3

Short Answer

Expert verified

The excluded values are13and鈭�32.

Step by step solution

01

Step 1. Define rational expression.

A rational expression is an algebraic expression whose numerator and denominator are polynomials. Also, division by 0 is undefined, so therefore, the polynomials in the denominator cannot be zero and the values for which the denominator is zero is termed as excluded values for the respective rational expression.

02

Step 2. Factor the expression.

Factor the denominator in order to find out the excluded values.

6x2+7x鈭�3=06x2+9x鈭�2x鈭�3=03x鈭�12x+3=0

03

Step 3. Apply the zero-product rule.

Zero product rule states that if ab=0, then either a=0or b=0.

role="math" localid="1648046651251" 3x鈭�12x+3=03x鈭�1=0or2x+3=0x=13orx=鈭�32

Therefore, the excluded values are 鈭�32and 13.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find each sum or difference.

5x2鈭�2x鈭�24+xx鈭�6

Factor each polynomial.

6x2鈭�5x鈭�4

A 135-pound person sits 5 feet from the centre of a seesaw. How far from the centre should a 108-pound person sit to balance the seesaw?

Determine whether each table or equation represents an inverse or a direct variation. Explain.

x
125
y
1052

Solve each proportion.

512=x36
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.