Explanation It is given that f ( x ) = x 4 + 1 . First let y = f ( x ) To find the inverse of this function f − 1 , solve this equation for x in terms of y . Consider, y = x 4 + 1 x 4 = y − 1 x = y − 1 4 Now, interchange the variables x and y , y = x − 1 4 Hence,

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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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 1.5, Problem 27E

To determine

To find:inverse function of f where f(x)=x4+1,x≥0 and graph f , f−1 and y=x on the same graph. And check iff and f−1 are reflections about the line y=x .

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Chapter 1.5, Problem 26E

Chapter 1.5, Problem 28E

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Chapter 1 Solutions

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inverse function of f where f ( x ) = x 4 + 1 , x ≥ 0 and graph f , f − 1 and y = x on the same graph. And check iff and f − 1 are reflections about the line y = x .

Solution Summary: The author explains that the functionsf and f-1 are reflections about the line y=x.

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To find:inverse function of f where f(x)=x4+1,x≥0 and graph f , f−1 and y=x on the same graph. And check iff and f−1 are reflections about the line y=x .

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Chapter 1 Solutions