For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether ƒ and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = -3x 8(x) = = = f(g(x)) = 3 g(f(x)) = Of and g are inverses of each other Of and g are not inverses of each other (b) f(x)=2x+3 8(x) = x -3 f(g(x)) = g(f(x)) = 2 fand g are inverses of each other f and g are not inverses of each other

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.8: one-to-one Functions And Their Inverses
Problem 2E: (a) For a Function to have an inverse, it must be______ So which one of the following functions has...
Question
For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)).
Then, determine whether ƒ and g are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all x in the domain of the composition.
You do not have to indicate the domain.)
(a) f(x) = -3x
8(x) = = =
f(g(x)) =
3
g(f(x)) =
Of and g are inverses of each other
Of and g are not inverses of each other
(b) f(x)=2x+3
8(x) = x -3
f(g(x)) =
g(f(x)) =
2
fand g are inverses of each other
f and g are not inverses of each other
Transcribed Image Text:For each pair of functions ƒ and g below, find f(g(x)) and g (f(x)). Then, determine whether ƒ and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) (a) f(x) = -3x 8(x) = = = f(g(x)) = 3 g(f(x)) = Of and g are inverses of each other Of and g are not inverses of each other (b) f(x)=2x+3 8(x) = x -3 f(g(x)) = g(f(x)) = 2 fand g are inverses of each other f and g are not inverses of each other
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
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