Given the three function below, which expression equals (z o bo w)(x)? b(x) = 2/x w(x) = 3ª 3 z(x) = x + 6

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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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. \(2\sqrt{\frac{3}{3^x+6}}\)
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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