Let f and g be the functions in the table below. N X f(x) g(x) f'(x) g'(x) 1 3 2 4 6 2 1 3 5 7 3 2 1 7 9 (a) If F(x) = f(f(x)), find F '(1). F '(1) = (b) If G(x) = g(g(x)), find G‘(2). G'(2) =

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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Let f and g be the functions in the table below.
N
X f(x) g(x)
f'(x)
g'(x)
1
3
2
4
6
2
1
3
5
7
3
2
1
7
9
(a) If F(x) = f(f(x)), find F '(1).
F '(1) =
(b) If G(x) = g(g(x)), find G‘(2).
G'(2) =
Transcribed Image Text:Let f and g be the functions in the table below. N X f(x) g(x) f'(x) g'(x) 1 3 2 4 6 2 1 3 5 7 3 2 1 7 9 (a) If F(x) = f(f(x)), find F '(1). F '(1) = (b) If G(x) = g(g(x)), find G‘(2). G'(2) =
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