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Answer: In Exercises 1 to 12, use the given functions f and g to find f g f g, fg, and

College Algebra | 7th Edition | ISBN: 9781439048610 | Authors: Richard N. Aufmann, Vernon C. Barker, Richard D. Nation ISBN: 9781439048610 198

Solution for problem 2.6.4 Chapter 2

College Algebra | 7th Edition

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College Algebra | 7th Edition | ISBN: 9781439048610 | Authors: Richard N. Aufmann, Vernon C. Barker, Richard D. Nation

College Algebra | 7th Edition

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Problem 2.6.4

In Exercises 1 to 12, use the given functions f and g to find f g f g, fg, and fg. State the domain of each. f(x) = 5x - 15, g(x) = x - 3

Step-by-Step Solution:
Step 1 of 3

Topics​ C ​ overed:​ ​​ Fundamental​ ​Theorem​ ​of​ ​Calculus(FTOC), Indefinite​ I ​ ntegral,​ ​and​ ​Substitution​ R ​ ule ● Fundamental​ ​Theorem​ ​of​ ​Calculus: ○ Definition​:​ ​If​ ​​f​ ​​is​ ​continuous​ ​on​ ​the​ ​closed​ ​interval​ ​[a,b]​ ​and​ ​F(antiderivative of​ ​​f​)​ ​is​ ​the​ ​indefinite​ ​integral​ ​of​ ​[a,b]​ ​,then​ ​∫​ ​from​ ​a→b​ ​(f(x))dx)​ ​=​ ​F(b)-F(a). ○ Examples​:Evaluate​ ​the​ i​ ntegral:​ ∫ ​ ​ ​from​ ​3→1​ ​ x*dx) ■ F(x)=x^2/2​ ​then​ ​plug​ ​in​ ​the​ ​closed​ ​intervals​ ​which​ ​are​ ​[1,3]​ ​and subtract. ​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​=((3​ /2)-((1​ )/2) ​ ​​

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Chapter 2, Problem 2.6.4 is Solved
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Textbook: College Algebra
Edition: 7
Author: Richard N. Aufmann, Vernon C. Barker, Richard D. Nation
ISBN: 9781439048610

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Answer: In Exercises 1 to 12, use the given functions f and g to find f g f g, fg, and