The functions f and g are defined as f(x) = x-7, g(x)=√√x+4. f a) Find the domain of f, g, f+g, f-g, fg, ff, - - g b) Find (f+g)(x), (f—g)(x), (fg)(x), (ff)(x), a) The domain of f is (Type your answer in interval notation.) and (-)(x), g (x), and (9) (x).

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.4: Operations On Functions
Problem 124E
icon
Related questions
Question
K
The functions f and g are defined as f(x) = x - 7, g(x)=√x +4.
f
a) Find the domain of f, g, f+g, f-g, fg, ff, and
g
H («
g
b) Find (f+g)(x), (f – g)(x), (fg)(x), (ff)(x),
a) The domain of fis
(Type your answer in interval notation.)
9
f
(x), and
(3)
f
(x).
Transcribed Image Text:K The functions f and g are defined as f(x) = x - 7, g(x)=√x +4. f a) Find the domain of f, g, f+g, f-g, fg, ff, and g H (« g b) Find (f+g)(x), (f – g)(x), (fg)(x), (ff)(x), a) The domain of fis (Type your answer in interval notation.) 9 f (x), and (3) f (x).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning