Answer The given function as a composite function is f ( h ( h ( x ) ) ) . Explanation Given information: f ( x ) = cos x , g ( x ) = x + 2 , h ( x ) = 3 x 2 . Calculation: cos 27 x 4 = cos ( 3 × ( 3 x 2 ) 2 ) = cos ( 3 ( h ( x ) 2 ) = cos ( h ( h ( x ) ) = f ( h ( h ( x ) ) )

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

4th Edition

ISBN: 9780133178579

Author: Ross L. Finney

Publisher: PEARSON

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Question

Chapter 4.1, Problem 9QR

To determine

To solve: The given function as the composite function of two or more for f, g and h .

Expert Solution & Answer

Answer to Problem 9QR

The given function as a composite function is f(h(h(x))) .

Explanation of Solution

Given information: f(x)=cosx , g(x)=x+2 , h(x)=3x2 .

Calculation:

cos27 x 4 =cos( 3× ( 3 x 2 ) 2 ) =cos( 3( h (x) 2 ) =cos(h(h(x))=f(h(h(x)))

Chapter 4.1, Problem 8QR

Chapter 4.1, Problem 10QR

Chapter 4 Solutions

Calculus 2012 Student Edition (by Finney/Demana/Waits/Kennedy)

Ch. 4.1 - Prob. 1QR Ch. 4.1 - Prob. 2QR Ch. 4.1 - Prob. 3QR Ch. 4.1 - Prob. 4QR Ch. 4.1 - Prob. 5QR Ch. 4.1 - Prob. 6QR Ch. 4.1 - Prob. 7QR Ch. 4.1 - Prob. 8QR Ch. 4.1 - Prob. 9QR Ch. 4.1 - Prob. 10QR

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