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High School Math Algebra Algebra and Trigonometry: Structure and Method, Book 2

The system of equations.

The system of equations.

Algebra and Trigonometry: Structure and Method, Book 2

Algebra and Trigonometry: Structure and Method, Book 2

2000th Edition

ISBN: 9780395977255

Author: MCDOUGAL LITTEL

Publisher: McDougal Littell

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Question

Chapter 3, Problem 26CLR

To determine

To solve: The system of equations.

Expert Solution & Answer

Answer to Problem 26CLR

The values are f(g(2))=−5 and g(f(2))=7

Explanation of Solution

Given information: f(x)=4−x2, g(x)=|2x−7|

Calculation:

Substitute 2 in f(x) and g(x) to obtain f(2) and g(2) .

f(x)=4−x2f(2)=4−(2)2=4−4=0g(x)=|2x−7|g(2)=|2(2)−7|=|4−7|=|−3|=3

The values of f(g(2)) is,

f(g(2))=f(3) (∵g(2)=3)=4−(3)2 (∵f(x)=4−x2)=4−9=−5

The value of g(f(2)) is,

g(f(2))=g(0) (∵f(2)=0)=|2(0)−7| (∵g(x)=|2x−7|)=|−7|=7

Chapter 3, Problem 25CLR

Chapter 3, Problem 27CLR

Chapter 3 Solutions

Algebra and Trigonometry: Structure and Method, Book 2

Ch. 3.1 - Prob. 1OE Ch. 3.1 - Prob. 2OE Ch. 3.1 - Prob. 3OE Ch. 3.1 - Prob. 4OE Ch. 3.1 - Prob. 5OE Ch. 3.1 - Prob. 6OE Ch. 3.1 - Prob. 7OE Ch. 3.1 - Prob. 8OE Ch. 3.1 - Prob. 9OE Ch. 3.1 - Prob. 10OE

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Prob. 31WE Ch. 3.10 - Prob. 32WE Ch. 3.10 - Prob. 33WE Ch. 3.10 - Prob. 34WE Ch. 3.10 - Prob. 35WE Ch. 3.10 - Prob. 36WE Ch. 3.10 - Prob. 37WE Ch. 3.10 - Prob. 1ST Ch. 3.10 - Prob. 2ST Ch. 3.10 - Prob. 3ST Ch. 3.10 - Prob. 4ST Ch. 3.10 - Prob. 5ST Ch. 3.10 - Prob. 6ST Ch. 3.10 - Prob. 7ST Ch. 3.10 - Prob. 8ST Ch. 3.10 - Prob. 9ST Ch. 3.10 - Prob. 1E Ch. 3.10 - Prob. 2E Ch. 3.10 - Prob. 3E Ch. 3.10 - Prob. 4E Ch. 3.10 - Prob. 5E Ch. 3 - Prob. 1CR Ch. 3 - Prob. 2CR Ch. 3 - Prob. 3CR Ch. 3 - Prob. 4CR Ch. 3 - Prob. 5CR Ch. 3 - Prob. 6CR Ch. 3 - Prob. 7CR Ch. 3 - Prob. 8CR Ch. 3 - Prob. 9CR Ch. 3 - Prob. 10CR Ch. 3 - Prob. 11CR Ch. 3 - Prob. 12CR Ch. 3 - Prob. 13CR Ch. 3 - Prob. 14CR Ch. 3 - Prob. 15CR Ch. 3 - Prob. 16CR Ch. 3 - Prob. 17CR Ch. 3 - Prob. 18CR Ch. 3 - Prob. 1CT Ch. 3 - Prob. 2CT Ch. 3 - Prob. 3CT Ch. 3 - Prob. 4CT Ch. 3 - Prob. 5CT Ch. 3 - Prob. 6CT Ch. 3 - Prob. 7CT Ch. 3 - Prob. 8CT Ch. 3 - Prob. 9CT Ch. 3 - Prob. 10CT Ch. 3 - Prob. 11CT Ch. 3 - Prob. 12CT Ch. 3 - Prob. 13CT Ch. 3 - Prob. 14CT Ch. 3 - Prob. 15CT Ch. 3 - Prob. 16CT Ch. 3 - Prob. 1CLR Ch. 3 - Prob. 2CLR Ch. 3 - Prob. 3CLR Ch. 3 - Prob. 4CLR Ch. 3 - Prob. 5CLR Ch. 3 - Prob. 6CLR Ch. 3 - Prob. 7CLR Ch. 3 - Prob. 8CLR Ch. 3 - Prob. 9CLR Ch. 3 - Prob. 10CLR Ch. 3 - Prob. 11CLR Ch. 3 - Prob. 12CLR Ch. 3 - Prob. 13CLR Ch. 3 - Prob. 14CLR Ch. 3 - Prob. 15CLR Ch. 3 - Prob. 16CLR Ch. 3 - Prob. 17CLR Ch. 3 - Prob. 18CLR Ch. 3 - Prob. 19CLR Ch. 3 - Prob. 20CLR Ch. 3 - Prob. 21CLR Ch. 3 - Prob. 22CLR Ch. 3 - Prob. 23CLR Ch. 3 - Prob. 24CLR Ch. 3 - Prob. 25CLR Ch. 3 - Prob. 26CLR Ch. 3 - Prob. 27CLR Ch. 3 - Prob. 28CLR

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