Explanation Given information: The function f ( x ) = 1 x + 1 Concept used: Domain of the function: The domain of the function f ( x ) is the set of the values of xwhere the function is real and defined. Consider the function as f ( x ) = 1 x + 1 Since, the function f ( x ) = 1 x + 1 is defined for all the values of x except x = − 1 . Hence, the domain of the function is ( − ∞ , − 1 ) ∪ ( − 1 , ∞ ) Let, f ( x ) = y , then 1 x + 1 = y x + 1 = 1 y x = 1 y − 1 f − 1 ( y ) = 1 y − 1 Replace y by x , f − 1 ( x ) = 1 x − 1 Hence, the inverse of the function is f − 1 ( x ) = 1 x − 1

4th Edition

ISBN: 9781319055844

Author: FRANZOSA

Publisher: VST

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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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Chapter 7.2, Problem 12E

To determine

Tocalculate: The domain of the function f(x)=1x+1 for which the function is one to one and find the inverse of the function. Also sketch the graph of the function and its inverse.

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Chapter 7.2, Problem 11E

Chapter 7.2, Problem 13E

Chapter 7 Solutions

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Tocalculate: The domain of the function f ( x ) = 1 x + 1 for which the function is one to one and find the inverse of the function. Also sketch the graph of the function and its inverse.

Solution Summary: The author explains the domain of the function f(x)=1x+1 and its inverse.

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Tocalculate: The domain of the function f(x)=1x+1 for which the function is one to one and find the inverse of the function. Also sketch the graph of the function and its inverse.

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Chapter 7 Solutions