Homework Help is Here – Start Your Trial Now!
Math
Calculus
86. f(x) = √x, g(x) = 2 x - 4

86. f(x) = √x, g(x) = 2 x - 4

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 97SE: The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is...
See similar textbooks
icon
Related questions
Question
Question 86
81. f(x) = x + 2, g(x) = x² 82. f(x) = x² + g(x) = 3x² 83. Combining Functions If f(x) = x² − 3x + 2 and g(x) = 4 - 3x, find the following functions. (a) f + g (b) f - g (d) f/g (e) fog 84. If f(x) = 1 + x² and g(x) = V√x – 1, find the following. (a) fog (b) gof (c) (fog)(2) (d) (ff)(2) (e) fogof (f) gofog 85-86 Composition of Functions Find the functions fog, gof, fof, and go g and their domains. 85. f(x) = 3x - 1, g(x) = 2x - x² 86. f(x)=√x, g(x) = 2 x - 4 87. Finding a Composition Find fogoh, where f(x) = V1- x, g(x) = 1 = x², and h(x) = 1 + √x. 88. Finding a Composition If T(x) = (c) fg (f) gof tions f, g, and h such that f g 89-94 One-to-One Functions tion is one-to-one. 3 89. f(x) = 3 + x³ 1 V1 + Vx find func- h = T. Determine whether the func 90. g(x) = 2 - 2x + x²
Transcribed Image Text:81. f(x) = x + 2, g(x) = x² 82. f(x) = x² + g(x) = 3x² 83. Combining Functions If f(x) = x² − 3x + 2 and g(x) = 4 - 3x, find the following functions. (a) f + g (b) f - g (d) f/g (e) fog 84. If f(x) = 1 + x² and g(x) = V√x – 1, find the following. (a) fog (b) gof (c) (fog)(2) (d) (ff)(2) (e) fogof (f) gofog 85-86 Composition of Functions Find the functions fog, gof, fof, and go g and their domains. 85. f(x) = 3x - 1, g(x) = 2x - x² 86. f(x)=√x, g(x) = 2 x - 4 87. Finding a Composition Find fogoh, where f(x) = V1- x, g(x) = 1 = x², and h(x) = 1 + √x. 88. Finding a Composition If T(x) = (c) fg (f) gof tions f, g, and h such that f g 89-94 One-to-One Functions tion is one-to-one. 3 89. f(x) = 3 + x³ 1 V1 + Vx find func- h = T. Determine whether the func 90. g(x) = 2 - 2x + x²
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
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
SEE MORE TEXTBOOKS