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Ch 1.1 - 38E

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

Solution for problem 38E 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 38E

35-40. More composite functions Let f(x) = |x|, \(g(x)=x^{2}-4\), \(F(x)=\sqrt{x}\), and G(x) = 1/(x - 2). Determine the following composite functions and give their domains.

\(f\ \circ\ g\ \circ\ G\)

Step-by-Step Solution:

Step by step solution Step 1 of 1 Consider given functions f(x) = x , g(| |= x 4, F(x) = x and G(x) =1/(x 2) . The function f g G° °n be written as f (g(G(x))). First we must find the value of function g(G(x)). In order to do that we put the relation for G(x) in place of x in the function of g(x): g G = g(G(x)) ° g(x) = x 4 2 g(G(x)) = (G(x)) 4 g(G(x)) = ( 1 ) 4…………(1) x2 If we want to find the value of function f(x) for x =g(G(x)) we must use the function g(G(x)) in the relation for the function f(x): f ° ° = f(g(G(x))) f(x) = x | | f(g(G(x))) = g(G|x)) | Let’s use value for g(G(x)) from relation (1): | 2 | f(g(G(x))) = ( | x2) 4 | | | Hence the value of f g G is ( | 1 ) 4 .| ° ° |x2 |

Step 2 of 1

Chapter 1.1, Problem 38E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 38E from 1.1 chapter was answered, more than 441 students have viewed the full step-by-step answer. This full solution covers the following key subjects: . This expansive textbook survival guide covers 112 chapters, and 7700 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 38E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “?35-40. More composite functions Let f(x) = |x|, \(g(x)=x^{2}-4\), \(F(x)=\sqrt{x}\), and G(x) = 1/(x - 2). Determine the following composite functions and give their domains.\(f\ \circ\ g\ \circ\ G\)” is broken down into a number of easy to follow steps, and 29 words.

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Ch 1.1 - 38E