Given the function f(x)=x²-2, x≥0, (a) Find f¹(x). (b) Graph fand f¹ in the same rectangular coordinate system (c) Use interval notation to give the domain and the range of f and f¹

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.8: Linear And Quadratic Functions
Problem 2WE
icon
Related questions
Question

Answer all parts otherwise don't solve

Given the function f(x) = x² -2, x≥0,
(a) Find f¹(x)
(b) Graph f and f¹ in the same rectangular coordinate system
(c) Use interval notation to give the domain and the range of f and f¹
(a) Find f¹(x)
1¹(x)=√x+2₁ -√x+2
(b) Choose the correct graph which shows f and f1graphed in the same coordinate system
O A.
О в.
O C.
O D.
Q
53
Q
2
(c) State the domain and range of f and fusing interval notation
Domain of f= Range of f =
[-2,00)
Range of f= Domain of f1.
=
(-∞0,0]
AY
Q
X
5
Transcribed Image Text:Given the function f(x) = x² -2, x≥0, (a) Find f¹(x) (b) Graph f and f¹ in the same rectangular coordinate system (c) Use interval notation to give the domain and the range of f and f¹ (a) Find f¹(x) 1¹(x)=√x+2₁ -√x+2 (b) Choose the correct graph which shows f and f1graphed in the same coordinate system O A. О в. O C. O D. Q 53 Q 2 (c) State the domain and range of f and fusing interval notation Domain of f= Range of f = [-2,00) Range of f= Domain of f1. = (-∞0,0] AY Q X 5
Expert Solution
steps

Step by step

Solved in 4 steps with 5 images

Blurred answer
Recommended textbooks for you
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
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9781285195728
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage