a. Explanation Given: f ( x ) = x + 1 x , g ( x ) = x + 1 x + 2 Calculation: f ∘ g ( x ) = f ( g ( x ) ) = f ( x + 1 x + 2 ) = x + 1 x + 2 + 1 x + 1 x + 2 = x + 1 x + 2 + x + 2 x + 1 = ( x + 1 ) 2 + ( x + 2 ) 2 ( x + 1 ) ( x + 2 ) b. To determine To find g ∘ f and its domain. c. To determine To find f ∘ f and its domain. d. To determine To find g ∘ g and its domain.

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 1.3, Problem 33E

To determine

To find f∘g and its domain.

To determine

To find g∘f and its domain.

To determine

To find f∘f and its domain.

To determine

To find g∘g and its domain.

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Chapter 1.3, Problem 32E

Chapter 1.3, Problem 34E

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Chapter 1 Solutions

Biocalculus

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To find f ∘ g and its domain.

Solution Summary: The author explains how to find fcirc g and its domain.

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To find f∘g and its domain.

To find g∘f and its domain.

To find f∘f and its domain.

To find g∘g and its domain.

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Chapter 1 Solutions