Given the three function below, which expression equals (k o bo v)(x)? 9. 6(x) = e" k(x) = 6x v(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 \((k \circ b \circ v)(x)\)?

\[ b(x) = e^x \]

\[ k(x) = 6x \]

\[ v(x) = \frac{9}{x-6} \]

Options:

- \(\frac{9}{6e^x - 6}\)
- \(6\left(\frac{9}{e^x - 6}\right)\)
- \(6e\left(\frac{9}{x - 6}\right)\)
- \(e\left(6\left(\frac{9}{x - 6}\right)\right)\)

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Transcribed Image Text:Given the three functions below, which expression equals \((k \circ b \circ v)(x)\)? \[ b(x) = e^x \] \[ k(x) = 6x \] \[ v(x) = \frac{9}{x-6} \] Options: - \(\frac{9}{6e^x - 6}\) - \(6\left(\frac{9}{e^x - 6}\right)\) - \(6e\left(\frac{9}{x - 6}\right)\) - \(e\left(6\left(\frac{9}{x - 6}\right)\right)\) [Submit Answer]
Expert Solution
Step 1

Given that :-

 b(x) = ex and k(x) = 6x and v(x) = 9/(x-6).

we find composite function - (K0b0v)(x) .

Here i attached solution of this question.

 

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