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Given the three function below, which expression equals (d o so z)(x)? d(x) = 2" s(x) = VT z(x) = x4 V (2")* 4 (2v2)* O 2va

Given the three function below, which expression equals (d o so z)(x)? d(x) = 2" s(x) = VT z(x) = x4 V (2")* 4 (2v2)* O 2va

Calculus: Early Transcendentals
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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**Function Composition Problem** **Question:** Given the three functions below, which expression equals \( (d \circ s \circ z)(x) \)? - \( d(x) = 2^x \) - \( s(x) = \sqrt{x} \) - \( z(x) = x^4 \) **Options:** 1. \( 2\sqrt{x^4} \) 2. \( \sqrt{(2^x)^4} \) 3. \( \left( 2\sqrt{x} \right)^4 \) 4. \( 2\sqrt{x^4} \) **Instructions:** Select the correct expression that represents the composition \( (d \circ s \circ z)(x) \), where \( d(x) \), \( s(x) \), and \( z(x) \) are combined in that order. **Submit Answer Button:** Once you select your answer, click on "Submit Answer" to check if you are correct.
Transcribed Image Text:**Function Composition Problem** **Question:** Given the three functions below, which expression equals \( (d \circ s \circ z)(x) \)? - \( d(x) = 2^x \) - \( s(x) = \sqrt{x} \) - \( z(x) = x^4 \) **Options:** 1. \( 2\sqrt{x^4} \) 2. \( \sqrt{(2^x)^4} \) 3. \( \left( 2\sqrt{x} \right)^4 \) 4. \( 2\sqrt{x^4} \) **Instructions:** Select the correct expression that represents the composition \( (d \circ s \circ z)(x) \), where \( d(x) \), \( s(x) \), and \( z(x) \) are combined in that order. **Submit Answer Button:** Once you select your answer, click on "Submit Answer" to check if you are correct.
Expert Solution
Step 1

Given- dx=2x,  sx=x and zx=x4

To Find- The value of d·s·zx

 

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