46. f(x) = /x + 3, g(x)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Number 46 determine the domains of a) f, b) g, c) f•g f(x)= squareroot x+3 g(x)= x/2
Finding the Domain of a Composite Function
Exercises 45-54, determine the domains of (a) f, (b) g,
and (c) f g. Use a graphing utility to verify your results.
In
45. f(x) = Jx – 7, g(x) = 4x2
46. f(x) = x + 3, g(x)
|3D
47. f(x) = x² + 1, g(x) = x
48. f(x) = x4, g(x) = x4
%3D
1.
49. f(x).
- g(x) =
x + 3
1
50. f(x)
x'
2x
51. f(x) = |x – 4|, g(x) = 3 – x
52. f(x) =
g(x) = x - 5
1
53. f(x) = x + 2, g(x) =
x² - 4
3
54. f(x) =
g(x) =
x+ 1
x2 - 1'
Determining Whether f g = gof In Exercises 55-60,
a) find f g, g •f, and the domain of fog. (b) Use a
raphing utility to graph fog and gof. Determine
hether f g = g of.
5. f(x) = /x + 4, g(x) = x2
%3D
Transcribed Image Text:Finding the Domain of a Composite Function Exercises 45-54, determine the domains of (a) f, (b) g, and (c) f g. Use a graphing utility to verify your results. In 45. f(x) = Jx – 7, g(x) = 4x2 46. f(x) = x + 3, g(x) |3D 47. f(x) = x² + 1, g(x) = x 48. f(x) = x4, g(x) = x4 %3D 1. 49. f(x). - g(x) = x + 3 1 50. f(x) x' 2x 51. f(x) = |x – 4|, g(x) = 3 – x 52. f(x) = g(x) = x - 5 1 53. f(x) = x + 2, g(x) = x² - 4 3 54. f(x) = g(x) = x+ 1 x2 - 1' Determining Whether f g = gof In Exercises 55-60, a) find f g, g •f, and the domain of fog. (b) Use a raphing utility to graph fog and gof. Determine hether f g = g of. 5. f(x) = /x + 4, g(x) = x2 %3D
Expert Solution
Step 1

Algebra homework question answer, step 1, image 1

steps

Step by step

Solved in 5 steps with 5 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education