Explanation Given information: f ( x ) = x 3 − 8 Formula used: y = f ( x ) f − 1 ( y ) = x Calculation: f ( x ) = x 3 − 8 Squaring both sides. y 2 = x 3 − 8 y 2 + 8 = x 3 x = ( y 2 + 8 ) 1 3 Hence, f − 1 ( x

4th Edition

ISBN: 9781319545956

Author: Rogawski

Publisher: MAC HIGHER

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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 59CRE

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Find the inverse of f(x)=x3−8 and determine its domain and range.

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Chapter 1, Problem 58CRE

Chapter 1, Problem 60CRE

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Chapter 1 Solutions

CALCULUS W/ACHIEVE PLATFORM

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Find the inverse of f ( x ) = x 3 − 8 and determine its domain and range.

Solution Summary: The author explains how to determine the inverse of f(x)=sqrt

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Find the inverse of f(x)=x3−8 and determine its domain and range.

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Chapter 1 Solutions