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y = f(g(x)) 1 x + 19 y= U = u = g(x) y = f(u) y = u ¹/2

y = f(g(x)) 1 x + 19 y= U = u = g(x) y = f(u) y = u ¹/2

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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**Complete the Table** The table requires input for the function compositions. 1. **Column 1: \( y = f(g(x)) \)** - Formula: \( y = \frac{1}{\sqrt{x} + 19} \) 2. **Column 2: \( u = g(x) \)** - Input needed in the box. 3. **Column 3: \( y = f(u) \)** - Formula: \( y = u^{-1/2} \) **Need Help?** - There is a button labeled "Read It" for additional guidance. **Note:** This exercise likely involves evaluating function values or manipulating the expressions given. It can be used to understand function composition and transformations.
Transcribed Image Text:**Complete the Table** The table requires input for the function compositions. 1. **Column 1: \( y = f(g(x)) \)** - Formula: \( y = \frac{1}{\sqrt{x} + 19} \) 2. **Column 2: \( u = g(x) \)** - Input needed in the box. 3. **Column 3: \( y = f(u) \)** - Formula: \( y = u^{-1/2} \) **Need Help?** - There is a button labeled "Read It" for additional guidance. **Note:** This exercise likely involves evaluating function values or manipulating the expressions given. It can be used to understand function composition and transformations.
Expert Solution
Step 1: We have given a table of functions

y=f(g(x))u=g(x)y=f(u)y=1x+19u=◻y=u−1/2

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