Explanation Given: The two functions f ( x ) = x 1 2 and g ( x ) = − 1 − | x | . Key concepts used: Composition of two functions is defined as: ( f ∘ g ) ( x ) = f ( g ( x ) ) . Calculation: We can find the composite function as: ⇒ ( f ∘ g ) ( x ) = f ( g ( x ) ) ⇒ ( f ∘ g ) ( x ) =

4th Edition

ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Question

Chapter 1.3, Problem 3PQ

To determine

What is unusual about the domain of the composite function f∘g ?

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Chapter 1.3, Problem 2PQ

Chapter 1.3, Problem 4PQ

Chapter 1 Solutions

CALCULUS (CLOTH)

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

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What is unusual about the domain of the composite function f ∘ g ?

Solution Summary: The author explains that the composition of two functions is (fcirc g) — since for any value of x, the argument of this function is negative.

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What is unusual about the domain of the composite function f∘g ?

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Chapter 1 Solutions