1. (This problem is intended to measure the ability of students in solving problems of composite and inverse functions] Choose two among the following four problems. (1.1) Find fog. f and their domains for the two given functions / and g below. Sketch their graphs. S(2) = !- 14 (2x 05 x r) = g(x) = x² - 5 h(x) = - and x+1 Ex-3 ifxs4 if x>0 (1.3) Find fog. g and their domains for the two given functions / and g below. Sketch their graphs. r0) = Vz² – Sx and p) = * +1 if x>0 x+1 if xs0 (1.4) Find f and g•f with their domains for the two given functions f and g below. Sketch their graphs. (1-x if x<-1 and g(x) = Ix - 21 + 2x (2x +3 if x2-1

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,...
icon
Related questions
Question

solve the all subparts thank u

1. (This problem is intended to measure the ability of students in solving problems of composite and inverse functions]
Choose two among the following four problems.
(1.1) Find fog, f- and their domains for the two given functions f and g below. Sketch their graphs.
S1-r ,z<0
S(x) =
li++220
S2+! z<0
9(z)
and
l++3 z20
(1.2) Find fog, h-1 and their domains for the three given functions f, g and h below. Sketch their graphs.
if x>4
(2x
if xs0
f(x) =
g(x) = x - 5
h(x)
and
x +1
x-3
,if x<4
if x>0
(1.3) Find fog, g- and their domains for the two given functions f and g below. Sketch their graphs.
g(x) = *+1 „if x>0
,if xs0
(x) = Vx2 - 5x
and
(1.4) Find f-1 and gof with their domains for the two given functions f and g below. Sketch their graphs.
,if x <-1
(1-x2
f(x) = -
(2x +3
and g(x) = x - 2| + 2x
if x 2 -1
Transcribed Image Text:1. (This problem is intended to measure the ability of students in solving problems of composite and inverse functions] Choose two among the following four problems. (1.1) Find fog, f- and their domains for the two given functions f and g below. Sketch their graphs. S1-r ,z<0 S(x) = li++220 S2+! z<0 9(z) and l++3 z20 (1.2) Find fog, h-1 and their domains for the three given functions f, g and h below. Sketch their graphs. if x>4 (2x if xs0 f(x) = g(x) = x - 5 h(x) and x +1 x-3 ,if x<4 if x>0 (1.3) Find fog, g- and their domains for the two given functions f and g below. Sketch their graphs. g(x) = *+1 „if x>0 ,if xs0 (x) = Vx2 - 5x and (1.4) Find f-1 and gof with their domains for the two given functions f and g below. Sketch their graphs. ,if x <-1 (1-x2 f(x) = - (2x +3 and g(x) = x - 2| + 2x if x 2 -1
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education