Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
![Given the three functions below, which expression equals \((z \circ b \circ w)(x)\)?
- \( b(x) = 2 \sqrt{x} \)
- \( w(x) = 3^x \)
- \( z(x) = \frac{3}{x+6} \)
Options:
1. \(\frac{3}{2\sqrt{3^x}+6}\)
2. \(3\left(\frac{3}{2\sqrt{x}+6}\right)\)
3. \(3\left(2\sqrt{\frac{3}{x+6}}\right)\)
4. \(2\sqrt{\frac{3}{3^x+6}}\)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08395658-3915-4b41-a901-f1ebc73d92aa%2Ff9f4553f-58b3-449c-b57d-440ddcfb4449%2Ff8l9e2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given the three functions below, which expression equals \((z \circ b \circ w)(x)\)?
- \( b(x) = 2 \sqrt{x} \)
- \( w(x) = 3^x \)
- \( z(x) = \frac{3}{x+6} \)
Options:
1. \(\frac{3}{2\sqrt{3^x}+6}\)
2. \(3\left(\frac{3}{2\sqrt{x}+6}\right)\)
3. \(3\left(2\sqrt{\frac{3}{x+6}}\right)\)
4. \(2\sqrt{\frac{3}{3^x+6}}\)
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