Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Concept explainers

Limits
When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topic…
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Question
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Chapter 9, Problem 3E
To determine

The point where the following rational function crosses the x-axis.

Expert Solution & Answer
Check Mark

Answer to Problem 3E

The correct option is (D).

Explanation of Solution

Given information:

The rational function is f(x)=2x−1−x+43 .

Calculation:

The point where the function crosses the x-axis is the point where the value of the function becomes zero.

Substitute f(x)=0 in the given equation and solve:

  0=2x−1−x+43

The lowest common denominator (LCD) is 3(x−1) . Multiply each terms with LCD then solve:

  0=2x−1⋅3(x−1)−x+43⋅3(x−1)0=6−(x+4)(x−1)0=6−(x2+3x−4)(x2+3x−4)−6=0x2+3x−10=0(x+5)(x−2)=0x+5=0    or   x−2=0x=−5    or   x=2

Hence,

The correct option is (D).

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Chapter 9, Problem 2E
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Chapter 9, Problem 4E

Chapter 9 Solutions

Algebra 2

Ch. 9.1 - Prob. 1ACYPCh. 9.1 - Prob. 1BCYPCh. 9.1 - Prob. 2CYPCh. 9.1 - Prob. 3ACYPCh. 9.1 - Prob. 3BCYPCh. 9.1 - Prob. 4ACYPCh. 9.1 - Prob. 4BCYPCh. 9.1 - Prob. 4CCYPCh. 9.1 - Prob. 4DCYPCh. 9.1 - Prob. 5ACYP
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