11. (a) State the largest possible domain of the following functions: opk fix → x-3 x+2 h:xx²+3 where x ER (b) Find (1) the range of h when -3 ≤ x ≤ 4. (ii) f¹,where f1 is the inverse of f. (ii) the composite function hof-1 (that is f-1 followed by h).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 51HP
icon
Related questions
Question

J5. 

Advance maths 

 

11. (a) State the largest possible domain of the following functions:
op**
x-3
x+2
h:xx²+3
(b) Find
fix →
where x ER
(1) the range of h when -3 ≤x≤ 4.
(ii) f¹,where f¹ is the inverse of f.
(ill) the composite function hof-1
(that is f1 followed by h).
Transcribed Image Text:11. (a) State the largest possible domain of the following functions: op** x-3 x+2 h:xx²+3 (b) Find fix → where x ER (1) the range of h when -3 ≤x≤ 4. (ii) f¹,where f¹ is the inverse of f. (ill) the composite function hof-1 (that is f1 followed by h).
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
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
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax