Huine : f"[B]={ xe X | f(x) e B}. p. het A and B be momemply sds and f:A-B and g:B¬A. li) ų fog is the r'a li) 4 fog i the identity functrin g on B , then fir Aunjectine. cii) Xg gof ii Hhe nidentitg functirin 'A A, then f is injectine. on
Huine : f"[B]={ xe X | f(x) e B}. p. het A and B be momemply sds and f:A-B and g:B¬A. li) ų fog is the r'a li) 4 fog i the identity functrin g on B , then fir Aunjectine. cii) Xg gof ii Hhe nidentitg functirin 'A A, then f is injectine. on
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![Huint : f"[B]= { xe X | f(x) e B}.
b. het A and B be momemply sts and
f:A-B and g:B→A.
li) 2 fog i the ria
B , then f ir eunjectine.
dentitg functerin ig
on
cii) Xg gof is Hhe nidentity functiin
A, then f in injectare.
on](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee13ce76-4f07-4d6d-b3d1-78b939bdb658%2Fbd236416-f30a-4b40-bad3-d4f6885dd287%2F2ccw5co_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Huint : f"[B]= { xe X | f(x) e B}.
b. het A and B be momemply sts and
f:A-B and g:B→A.
li) 2 fog i the ria
B , then f ir eunjectine.
dentitg functerin ig
on
cii) Xg gof is Hhe nidentity functiin
A, then f in injectare.
on
![2. Prove the pullouing
g
statements
a. Let X and Y he nonempty nits and
f: X→Y. & ASX and B SY, then
f LA] nB = f [Anf"[B].
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee13ce76-4f07-4d6d-b3d1-78b939bdb658%2Fbd236416-f30a-4b40-bad3-d4f6885dd287%2Fmf6karf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Prove the pullouing
g
statements
a. Let X and Y he nonempty nits and
f: X→Y. & ASX and B SY, then
f LA] nB = f [Anf"[B].
%3D
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