Explanation Given: h ( x ) = 1 x 2 − 5 x 4 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 and under fourth root term must be positive. Therefore, x 2 − 5 x ≠ 0 and x 2 − 5 x > 0 ⇒ x ( x − 5 ) ≠ 0 and x ( x − 5 ) > 0 ⇒ x ≠ 0 , x − 5 ≠ 0 and x < 0 , x − 5 < 0 or x > 0 , x − 5 > 0 ⇒ x ≠ 0 , x − 5 ≠ 0 and x < 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 37E

To determine

To find the domain of given function.

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Chapter 1.1, Problem 36E

Chapter 1.1, Problem 38E

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Biocalculus

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To find the domain of given function.

Solution Summary: The author explains how to find the domain of a given function. The denominator must be non-zero and the fourth root term should be positive.

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Chapter 1 Solutions