Explanation Given: The function, f ( x ) = tan ( x 2 ) . Concept Used: The composition function f ∘ g can be found by replacing x by g ( x ) in the function f ( x ) Calculation: In order to express the given function f ( x ) = tan ( x 2 ) as the composition of two functions u and g, such that f ( x ) = g ( u ) , we will identify the inner function as u and the outer function as g

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

6th Edition

ISBN: 9781524908102

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 1.4, Problem 35PS

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To write thefunctions f(x)=tan(x2) as the composition of two functions u and g, such that f(x)=g(u) , where u is a function of x.

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Chapter 1.4, Problem 34PS

Chapter 1.4, Problem 36PS

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Chapter 1 Solutions

Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)

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

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To write thefunctions f ( x ) = tan ( x 2 ) as the composition of two functions u and g, such that f ( x ) = g ( u ) , where u is a function of x.

Solution Summary: The author explains the composition function f(x)=mathrmtan

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To write thefunctions f(x)=tan(x2) as the composition of two functions u and g, such that f(x)=g(u) , where u is a function of x.

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Chapter 1 Solutions