3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x), ƒ'(x), g(x), and g'(x). B. In each of the following, combine the functions f, f', g, and g' as given to write and simplify a function of x. 1. f(g(x)) II. f' (g(x)).g'(x) III. g(f(x)) IV. g' (f(x)) . f'(x)
3. Let f(x) = x¹/3 and g(x) = 2x² + 5x – 1. A. Write out the equations for all four functions: ƒ(x), ƒ'(x), g(x), and g'(x). B. In each of the following, combine the functions f, f', g, and g' as given to write and simplify a function of x. 1. f(g(x)) II. f' (g(x)).g'(x) III. g(f(x)) IV. g' (f(x)) . f'(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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Question
![and g(x) = 2x¹ + 5x - 1.
3. Let f(x) = x¹/3 and g(x)
A. Write out the equations for all four functions:
ƒ(x), ƒ'(x), g(x), and g'(x).
B. In each of the following, combine the functions
f, f', g, and g' as given to write and simplify a
function of x.
1. f(g(x))
II. f' (g(x)).g'(x)
III. g(f(x))
IV._g(f(x))• f'(x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F84fa403c-0f26-4f7d-88aa-27071647fca3%2Fa77359cb-6302-4140-a8a5-043f224cb2bf%2Flmu5bgb_processed.jpeg&w=3840&q=75)
Transcribed Image Text:and g(x) = 2x¹ + 5x - 1.
3. Let f(x) = x¹/3 and g(x)
A. Write out the equations for all four functions:
ƒ(x), ƒ'(x), g(x), and g'(x).
B. In each of the following, combine the functions
f, f', g, and g' as given to write and simplify a
function of x.
1. f(g(x))
II. f' (g(x)).g'(x)
III. g(f(x))
IV._g(f(x))• f'(x)
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