1/f(x). 30. Use the given graph of f to sketch the graph of y Which features of f are the most important in sketching y //(x)? Explain how they are used.

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...
icon
Related questions
icon
Concept explainers
Question
44
CHAPTER 1 Functions and Models
30. Use the given graph of f to sketch the graph of y 1/fx).
Which features of f are the most important in sketching
33D1/f(x)? Explain how they are used.
52. Use the table to evaluate e
(a) f(g(1))
(d) g(g(1))
(b
(e
3.
1.
1.
0.
53. Use the given graphs
explain why it is unde
(a) f(g(2))
(d) (gof)(6)
31-32 Find (a) f+ g, (b) f- g, (c) fg, and (d) f/g and state their
domains.
31. f(x) = x' + 2x, y(x) = 3x - 1
32. f(x) = 3 - x. g(x) = Vx² - 1
33-38 Find the functions (a) fo y. (b) y o f. (c) fof, and (d) y o g
and their domains.
33. f(x) = 3x + 5, g(x) = x2 + x
34. f(x)-x'- 2. g(x) = 1- 4.x
35. f(x) Vx + 1. g(x) = 4x 3
%3D
54. Use the given g
f(g(x)) for x =
sketch a rough
36. f(x) -sinx, g(x) = x² + 1
37. f(x)-x+
1
g(x)%3D
x+ 2
38. f(x) -
-T+x
g(x)%3Dsin 2x
39-42 Find foy h.
39. (x) 3x-2. g(x)
) sin x. h(x) = x²
%3D
40. f(x) x-4. g(x)= 2", h(x) = vx
2.
3.
Transcribed Image Text:44 CHAPTER 1 Functions and Models 30. Use the given graph of f to sketch the graph of y 1/fx). Which features of f are the most important in sketching 33D1/f(x)? Explain how they are used. 52. Use the table to evaluate e (a) f(g(1)) (d) g(g(1)) (b (e 3. 1. 1. 0. 53. Use the given graphs explain why it is unde (a) f(g(2)) (d) (gof)(6) 31-32 Find (a) f+ g, (b) f- g, (c) fg, and (d) f/g and state their domains. 31. f(x) = x' + 2x, y(x) = 3x - 1 32. f(x) = 3 - x. g(x) = Vx² - 1 33-38 Find the functions (a) fo y. (b) y o f. (c) fof, and (d) y o g and their domains. 33. f(x) = 3x + 5, g(x) = x2 + x 34. f(x)-x'- 2. g(x) = 1- 4.x 35. f(x) Vx + 1. g(x) = 4x 3 %3D 54. Use the given g f(g(x)) for x = sketch a rough 36. f(x) -sinx, g(x) = x² + 1 37. f(x)-x+ 1 g(x)%3D x+ 2 38. f(x) - -T+x g(x)%3Dsin 2x 39-42 Find foy h. 39. (x) 3x-2. g(x) ) sin x. h(x) = x² %3D 40. f(x) x-4. g(x)= 2", h(x) = vx 2. 3.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Application of Integration
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning