Explanation Given: f ( x ) = 2 x 3 − 5 x 2 + x − 6 Calculation: Domain is the set of all values of x for which output is well defined. In the given function, to get well defined output, the denominator must be non-zero. Therefore, x 2 + x − 6 ≠ 0 ⇒ x 2 + 3 x − 2 x − 6 ≠ 0 ⇒ x ( x + 3 ) − 2 ( x + 3 ) ≠ 0 ⇒<

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Chapter 1.1, Problem 34E

To determine

To find the domain of given function.

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Chapter 1.1, Problem 33E

Chapter 1.1, Problem 35E

Chapter 1 Solutions

Biocalculus

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To find the domain of given function.

Solution Summary: The author explains that domain is the set of all values of x for which output is well defined. The denominator must be non-zero.

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To find the domain of given function.

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Chapter 1 Solutions