3. If f:(X,r)(Y.A) and g:(Y,A)→(Z,r) are open functions, prove that gof :(x.r)(Z.r) is open function.
3. If f:(X,r)(Y.A) and g:(Y,A)→(Z,r) are open functions, prove that gof :(x.r)(Z.r) is open function.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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If (XN ,r)——¥ A) and g :(Y ,A)—>(Z,1) are open functions, prove that g ef :(¥ ,r)——>(Z,1) is open function.
![3. If f:(X.r)-(Y.A) and g:(Y,A)(Z.r) are open functions,
prove that gof :(x,r)(Z.r) is open function.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1ad816a5-be78-417f-80db-c365ea296a14%2F83269b86-aac6-4993-8f53-1a6920963d12%2Ft2jg92q_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. If f:(X.r)-(Y.A) and g:(Y,A)(Z.r) are open functions,
prove that gof :(x,r)(Z.r) is open function.
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