Calculus: Graphical, Numerical, Algebraic

3rd Edition

ISBN: 9780133688399

Author: Finney, Ross L.

Publisher: Pearson/Prentice Hall

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Question

Chapter 1.2, Problem 59E

To determine

To find: The correct option for the domain of the function f(x)=x9−x2 .

Expert Solution & Answer

Answer to Problem 59E

The correct option is (B) such that the domain of the function f(x)=x9−x2 is (−3,3) .

Explanation of Solution

Given information: The function is f(x)=x9−x2 .

As the function f(x)=x9−x2 is the quotient function with denominator containing square root.

So, the value of denominator should be greater than 0.

9−x2>09−x2>09>x2−3<x<3

So, the value of x is possible only between −3 to 3 .

Therefore, the correct option is (B) such that the domain of the function f(x)=x9−x2 is (−3,3) .

Chapter 1.2, Problem 58E

Chapter 1.2, Problem 60E

Chapter 1 Solutions

Calculus: Graphical, Numerical, Algebraic

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

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The correct option for the domain of the function f ( x ) = x 9 − x 2 .