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
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,...
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc39de9c-428f-4afd-ba8c-6cd5c473243d%2F9bfc2a49-d850-4a52-8573-72038cd7201d%2Fc1t1gq_processed.jpeg&w=3840&q=75)
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
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