Explanation Domain: The domain of the function is defined as the set of complete possible values which will make the function work and give output as real values. Range: The range of the function is the set of all possible resulting values that we get by substituting the values of the domain. Given: A function as f ( x ) = 2 3 − x Formula: The domain of the inverse of the function gives the range of the given function. Calculation: Given function is f ( x ) = 2 3 − x Domain of the function f ( x ) = 2 3 − x : To find the domain, set the expression in the denominator not equal to zero. 3 − x ≠ 0 x ≠ 3 In Interval notation form, domain is ( ∞ , 3 ) ∪ ( 3 , ∞ ) Range of the function f ( x ) = 2 3 − x : We can write the above function as y = 2 3 − x Solving the above equation for x, we get y (3 − x

3rd Edition

ISBN: 9781464125263

Author: Jon Rogawski, Colin Adams

Publisher: W.H. Freeman & Co

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 1, Problem 13CRE

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The domain and the range of the function f(x) = 23 − x

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Chapter 1, Problem 12CRE

Chapter 1, Problem 14CRE

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Chapter 1 Solutions

Calculus - Standalone book

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The domain and the range of the function f ( x ) = 2 3 − x

Solution Summary: The author explains the domain and the range of the function. The expression in the denominator is not equal to zero.

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The domain and the range of the function f(x) = 23 − x

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Chapter 1 Solutions