1. Two functions are given: f(x) = 4x + 8 g(x) =x - 4 Some of these steps are used in the composition of functions to determine if f(x) and g(x) are inverses. C. 4 (;x- 4) + 8 F.S(;x - 4) A. g(4x + 8) В. х D. (2x + 4) E. x - 8 G. x – 16 + 8 H. x + 2 – 2 I. x + 2 - 4 J. x K. (4x + 8) – 4 L. x - 2 Part A: Rearrange the steps in the correct order and write the steps in the correct space below. (fo g)(x) = g(f(x)) = Part B: Which of the following statements is correct? A f(x) and g(x) are not inverses of each other, because the inverse of f(x) isx – 2. B f(x) and g(x) are not inverses of each other, because the inverse of g(x) is 2x +2. C f(x) and g(x) are not inverses of each other, but they are perpendicular. D f(x) and g(x) are inverses of each other.
1. Two functions are given: f(x) = 4x + 8 g(x) =x - 4 Some of these steps are used in the composition of functions to determine if f(x) and g(x) are inverses. C. 4 (;x- 4) + 8 F.S(;x - 4) A. g(4x + 8) В. х D. (2x + 4) E. x - 8 G. x – 16 + 8 H. x + 2 – 2 I. x + 2 - 4 J. x K. (4x + 8) – 4 L. x - 2 Part A: Rearrange the steps in the correct order and write the steps in the correct space below. (fo g)(x) = g(f(x)) = Part B: Which of the following statements is correct? A f(x) and g(x) are not inverses of each other, because the inverse of f(x) isx – 2. B f(x) and g(x) are not inverses of each other, because the inverse of g(x) is 2x +2. C f(x) and g(x) are not inverses of each other, but they are perpendicular. D f(x) and g(x) are inverses of each other.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question

Transcribed Image Text:Name
Date
Functions Overview
Inverse Functions – Part 2
Mini Assessment
1. Two functions are given:
f(x) = 4x + 8
g(x) =
x - 4
Some of these steps are used in the composition of functions to determine if f(x) and g(x)
are inverses.
C. 4(;x-4) + 8
F.S (;x-4)
A. g(4x + 8)
В. х
D.극(2x + 4)
Е. х — 8
G.x– 16 + 8
H. x+ 2 – 2
I. x+ 2 – 4
J. x
K. (4x + 8) – 4
L. x – 2
Part A: Rearrange the steps in the correct order and write the steps in the correct space
below.
(fo g)(x) =
g(f(x)) =
Part B: Which of the following statements is correct?
A f(x) and g(x) are not inverses of each other, because the inverse of f(x) is x- 2.
B f(x) and g(x) are not inverses of each other, because the inverse of g(x) is 2x + 2.
C f(x) and g(x) are not inverses of each other, but they are perpendicular.
D f(x) and g(x) are inverses of each other.
ALGEBRA
NATION
AlgebraNation.com
II
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps

Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.Recommended textbooks for you

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON

Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning

Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning

Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON

Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press

College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education