Explanation Given: The given pair of function is f ( x ) = 3 x + 7 , g ( x ) = 2 x − 5 Concept Used: The domain of a function is defined as the set of values of the variable for which the given function is defined. In other word for every real input for the variable the function should return a real output. The domain of a sum of functions is the set of values of the variable for which each given function and the sum of functions is defined. Calculations: The given pair of function is f ( x ) = 3 x + 7 , g ( x ) = 2 x − 5 The domain of the function f ( x ) = 3 x + 7 as per the above concepts can be given as below: Domain of f ( x ) = ( − ∞ , ∞ ) Again, the domain of the function g ( x ) = 2 x − 5 as per the above concepts can be given as below: Since the function g ( x ) = 2 x − 5 will be undefined when x − 5 = 0 ⇒ x = 5 It means we need to exclude the values x = 5 Hence Domain of g ( x ) = ( − ∞ , 5 ) ∪ ( 5 , ∞ ) The new function we can find as below: f ( x ) = 3 x + 7 , g ( x ) = 2 x − 5 ⇒ f ( x ) + g ( x ) = 3 x + 7 + 2 x − 5

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ISBN: 9781323566961

Author: Blitzer

Publisher: PEARSON C

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Chapter 8.3, Problem 21ES

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The domain of f+g for each pair of functions, f and g .

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Chapter 8.3, Problem 20ES

Chapter 8.3, Problem 22ES

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Chapter 8 Solutions

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Ch. 8.1 - Fill in each blank so that the resulting statement...Ch. 8.1 - Prob. 2CAVC Ch. 8.1 - Prob. 3CAVC Ch. 8.1 - Prob. 4CAVC Ch. 8.1 - Prob. 1ES Ch. 8.1 - Prob. 2ES Ch. 8.1 - Prob. 3ES Ch. 8.1 - Prob. 4ES Ch. 8.1 - Prob. 5ES Ch. 8.1 - Prob. 6ES

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The domain of f + g for each pair of functions, f and g .

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