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If f(x) = and g(x) = x3 2, find the compositions f ° g, g

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 6E Chapter 1.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

Calculus: Early Transcendentals | 1st Edition

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Problem 6E

If f(x) = and g(x) = x3 ? 2, find the compositions f ° g, g ° f, f ° f, and g ° g.

Step-by-Step Solution:

Step-by-step solution Step 1 of 4 Consider two given function and To find the composition of the function mean So, put the value of g(x) in place o in the function f(x). Next step, obtain And 3 f(x) = g(x) = x 2 3 f(g(x)) = f(x 2) 3 f(g(x)) = x 2 Therefore we can write the following:

Step 2 of 4

Chapter 1.1, Problem 6E is Solved
Step 3 of 4

Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

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If f(x) = and g(x) = x3 2, find the compositions f ° g, g