Explain what the student did wrong when combining the given functions. f(x) = 3x - 10 and g(x) = 8x + 7 Find g(f(x)). C Jeff g(f(x)) = = 8(3x - 10) 24x – 80 -

Intermediate Algebra
19th Edition
ISBN:9780998625720
Author:Lynn Marecek
Publisher:Lynn Marecek
Chapter5: Polynomials And Polynomial Functions
Section5.3: Multiply Polynomials
Problem 280E: For functions f(x)=2x7 and g(x)=2x+7 , find (a) (fg)(x) (b) (fg)(3)
icon
Related questions
Question
Explain what the student did wrong when combining the given functions.
f(x) = 3x 10 and g(x) = 8x + 7
Find g(f(x)).
g(f(x))
Jeff
8(3x - 10)
= 24x – 80
Jeff multiplied the functions instead of finding their composition.
Jeff had an arithmetic mistake when distributing the parentheses.
Jeff reversed the composition and found f(g(x)) instead.
Jeff actually combined the functions correctly.
Jeff did not add 7.
Give the correct answer.
Transcribed Image Text:Explain what the student did wrong when combining the given functions. f(x) = 3x 10 and g(x) = 8x + 7 Find g(f(x)). g(f(x)) Jeff 8(3x - 10) = 24x – 80 Jeff multiplied the functions instead of finding their composition. Jeff had an arithmetic mistake when distributing the parentheses. Jeff reversed the composition and found f(g(x)) instead. Jeff actually combined the functions correctly. Jeff did not add 7. Give the correct answer.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
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
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
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