Explanation Given information: f ( x ) = x − 2 x − 1 Formula used: To dind the inverse of y = x − 2 x − 1 , we switch the x and y and then solve for y . Calculation: To find the inverse of y = x − 2 x − 1 , we switch the x and y and then solve for x as follows. y = x − 2 x − 1 y ( x − 1 ) = x − 2 y x − y = x − 2 y x − x = y − 2 <

4th Edition

ISBN: 9781319050740

Author: Jon Rogawski, Colin Adams, Robert Franzosa

Publisher: W. H. Freeman

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Chapter 1, Problem 60CRE

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Find the inverse of f(x)=x−2x−1 and determine its domain and range.

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Chapter 1, Problem 59CRE

Chapter 1, Problem 61CRE

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Chapter 1 Solutions

Calculus: Early Transcendentals

Ch. 1.1 - Prob. 1PQ Ch. 1.1 - Prob. 2PQ Ch. 1.1 - Prob. 3PQ Ch. 1.1 - Prob. 4PQ Ch. 1.1 - Prob. 5PQ Ch. 1.1 - Prob. 6PQ Ch. 1.1 - Prob. 7PQ Ch. 1.1 - Prob. 8PQ Ch. 1.1 - Prob. 9PQ Ch. 1.1 - Prob. 10PQ

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Find the inverse of f ( x ) = x − 2 x − 1 and determine its domain and range.

Solution Summary: The author explains how to find the inverse of f(x)=x-2, and determine its domain and range.

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Find the inverse of f(x)=x−2x−1 and determine its domain and range.

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Chapter 1 Solutions