Given the three function below, which expression equals (t o f om)(x)? f(x) = Va + 7 m(x) = 8 |a| t(x) = 7x %3D O V8|7x4|+7 O v7 (8 |æ|)* + 7 07(V8E| +7) O 8/7(VE+7)"| 4.

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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**Title: Evaluating Composite Functions**

**Problem Statement:**
Given the three functions below, which expression equals \((t \circ f \circ m)(x)\)?

- \( f(x) = \sqrt{x} + 7 \)
- \( m(x) = 8|x| \)
- \( t(x) = 7x^4 \)

**Answer Options:**

1. \( \sqrt{8 \left(\sqrt{x}\right)^4 + 7} \)
2. \( \sqrt{7 \left(8|x|\right)^4 + 7} \)
3. \( 7 \left( \sqrt{8|x|} + 7 \right)^4 \)
4. \( 8 \left( 7 \left(\sqrt{x} + 7\right)^4 \right) \)

**Instructions:**
Select the correct option and click "Submit Answer" to check your solution.
Transcribed Image Text:**Title: Evaluating Composite Functions** **Problem Statement:** Given the three functions below, which expression equals \((t \circ f \circ m)(x)\)? - \( f(x) = \sqrt{x} + 7 \) - \( m(x) = 8|x| \) - \( t(x) = 7x^4 \) **Answer Options:** 1. \( \sqrt{8 \left(\sqrt{x}\right)^4 + 7} \) 2. \( \sqrt{7 \left(8|x|\right)^4 + 7} \) 3. \( 7 \left( \sqrt{8|x|} + 7 \right)^4 \) 4. \( 8 \left( 7 \left(\sqrt{x} + 7\right)^4 \right) \) **Instructions:** Select the correct option and click "Submit Answer" to check your solution.
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