Consider the values of f and g in the given table. f'(x) g(x) g'(x) 3 4 -3 -2 -1 -2 3 2 -4 -1 0 -3 1 2 3 4 f(x) 2 1 3 -1 Compute: f(g(x))₂-1 d dx Compute: g(f(x)),-1 d dx d Compute: f(x³ - x²) |z=2 dx Compute: (g(x)³ - g(x)²) |__2 d · dr.

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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Consider the values of f and g in the given table.
f'(x) g(x)
g'(x)
3
4
-3
-2
-1
-2
3
2
-4
-1
0
-3
1
2
3
4
f(x)
2
1
3
-1
Compute: f(g(x)),-1
da
Compute: g(f(x))|__1
d
Compute: f(³-²) |z=2
x²)|\x=2
d
dx
Compute: (g(x)³ - g(x)²)|z_2
d
dx
Transcribed Image Text:Consider the values of f and g in the given table. f'(x) g(x) g'(x) 3 4 -3 -2 -1 -2 3 2 -4 -1 0 -3 1 2 3 4 f(x) 2 1 3 -1 Compute: f(g(x)),-1 da Compute: g(f(x))|__1 d Compute: f(³-²) |z=2 x²)|\x=2 d dx Compute: (g(x)³ - g(x)²)|z_2 d dx
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