(9¹)(-5) = 79¹(5)) = 2) and g' (2)=4f' (8) - 2ƒ' (4) (9¹)(-5) = 5G ¹(5)) = and g(2) = f'(8) - ƒ' (4) (9¹)(-5) = g(g ¹(-5)) = g(2) and g(2) = f'(8) - f'(4) I (g)'(-5) = g(g ¹(-5)) = g(2) and g(2)=4f' (8)-2f' (4) f(x) f'(x) 4 11 -4 The table above gives selected values for a differentiable and decreasing function f and its derivative. Let g be the decreasing function given by g(x) = f(4x)-f(2x), where g(2) = f(8) - f(4)=-5. Which of the following describes a correct process for finding g ¹)(-5)? 8 6 -3

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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A
B
C
D
(9¹)(-5) = g(g¹(-5)) = g(2) and g'(2) = f'(8) — ƒ' (4)
x
(g-¹)(-5) = g(g¹(-5)) = g(2) and gʻ(2) = 4ƒ' (8) — 2ƒ' (4)
f(x)
f'(x)
The table above gives selected values for a differentiable and decreasing function f and its derivative. Let g be the decreasing function given by g(x) = f(4x) - f(2x), where g(2) = f(8) — ƒ(4) = -5. Which of the following describes a correct process for finding
(9¹)'(-5) ?
(g-¹)'(-5) = g(g-¹(-5)) = g(2) and g′ (2) = 4ƒ' (8) — 2ƒ′ (4)
(g-¹)'(-5) = g(g-¹(-5)) = g(2) and g'(2) = f'(8) — ƒ' (4)
4
11
-4
8
6
-3
Transcribed Image Text:A B C D (9¹)(-5) = g(g¹(-5)) = g(2) and g'(2) = f'(8) — ƒ' (4) x (g-¹)(-5) = g(g¹(-5)) = g(2) and gʻ(2) = 4ƒ' (8) — 2ƒ' (4) f(x) f'(x) The table above gives selected values for a differentiable and decreasing function f and its derivative. Let g be the decreasing function given by g(x) = f(4x) - f(2x), where g(2) = f(8) — ƒ(4) = -5. Which of the following describes a correct process for finding (9¹)'(-5) ? (g-¹)'(-5) = g(g-¹(-5)) = g(2) and g′ (2) = 4ƒ' (8) — 2ƒ′ (4) (g-¹)'(-5) = g(g-¹(-5)) = g(2) and g'(2) = f'(8) — ƒ' (4) 4 11 -4 8 6 -3
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