Given the functions f(x) = − 8x, g(x): determine each of the following. Evaluate f(g(x)) Evaluate g(f(x)) Evaluate g(g(x)) Give your answer as a simplified expression written in descending order f(g(x)) = Evaluate h(f(x)) g(f(x)) = g(g(x)) = = h(f(x)) - 8x - 9 and h(x) = - x² - 7x

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.CR: Chapter Review
Problem 89E
icon
Related questions
Question
Given the functions f(x) = − 8x, g(x):
determine each of the following.
Evaluate
f(g(x))
Evaluate
g(f(x))
Evaluate
g(g(x))
Give your answer as a simplified expression written in descending order
f(g(x)) =
Evaluate
h(f(x))
g(f(x)) =
g(g(x)) =
=
h(f(x))
- 8x - 9 and h(x)
=
- x² - 7x
Transcribed Image Text:Given the functions f(x) = − 8x, g(x): determine each of the following. Evaluate f(g(x)) Evaluate g(f(x)) Evaluate g(g(x)) Give your answer as a simplified expression written in descending order f(g(x)) = Evaluate h(f(x)) g(f(x)) = g(g(x)) = = h(f(x)) - 8x - 9 and h(x) = - x² - 7x
Expert Solution
steps

Step by step

Solved in 4 steps with 4 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
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:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
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
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage