(a) Given functions f(x) = 3x+2 and g(x) = x³ - 1, find fog and the inverse of fog. 4. (b) Use the definition of the derivative to find the derivative of f(x) = -6x + (x+3)². (c) Given function f(x) -x³+x²-24x + 6, x € R,
(a) Given functions f(x) = 3x+2 and g(x) = x³ - 1, find fog and the inverse of fog. 4. (b) Use the definition of the derivative to find the derivative of f(x) = -6x + (x+3)². (c) Given function f(x) -x³+x²-24x + 6, x € R,
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) Given functions f(x) = 3x + 2 and g(x) = x³ - 1, find fog and the inverse of fog.
;-)
4.
(b) Use the definition of the derivative to find the derivative of f(x) = -6x + (x+3)².
(c) Given function f(x) = -x³ + x² - 24x + 6, x € R,
i. is f even or odd?
ii. find the critical points of the function. State whether the critical points are minima or maxima.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1315efd6-cbfd-4bbc-a94d-028c06a0f7a1%2F8b291d66-f557-4edb-a8f4-41e6c9c5e2fc%2F7y8aizw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(a) Given functions f(x) = 3x + 2 and g(x) = x³ - 1, find fog and the inverse of fog.
;-)
4.
(b) Use the definition of the derivative to find the derivative of f(x) = -6x + (x+3)².
(c) Given function f(x) = -x³ + x² - 24x + 6, x € R,
i. is f even or odd?
ii. find the critical points of the function. State whether the critical points are minima or maxima.
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