In Exercises 1-5, let f(x) = sin x, g(x) = x² + 1, and h(x) = 7x. Write a simplified expression for the composite function 1. f(g(x)) 2. f(g(h(x)) 3. (g o h)(x) 4. (ho g)(x) g(x) 5. f h(x)

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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In Exercises 1-5, let f(x) = sin x, g(x) = x² + 1, and h(x) = 7x.
Write a simplified expression for the composite function
1. f(g(x))
2. f(g(h(x))
3. (g o h)(x)
4. (ho g)(x)
g(x)
5. f
h(x)
Transcribed Image Text:In Exercises 1-5, let f(x) = sin x, g(x) = x² + 1, and h(x) = 7x. Write a simplified expression for the composite function 1. f(g(x)) 2. f(g(h(x)) 3. (g o h)(x) 4. (ho g)(x) g(x) 5. f h(x)
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