Let f:X Y be function and g:X→fcXXY, g(x) = (x, f(x)). Prove that if g is a homeomorphism then f is continuous?
Let f:X Y be function and g:X→fcXXY, g(x) = (x, f(x)). Prove that if g is a homeomorphism then f is continuous?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.3: Higher Derivatives, Concavity, And The Second Derivative Test
Problem 61E
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![Let f:X Y be function and g:X→fcXXY, g(x) = (x, f(x)). Prove that if
g is a homeomorphism then f is continuous?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F229b362c-ca02-46c6-9cfd-8dd83b734335%2F5e769654-d772-4ab7-ae6b-2ae021d1cf94%2F4zxozw3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let f:X Y be function and g:X→fcXXY, g(x) = (x, f(x)). Prove that if
g is a homeomorphism then f is continuous?
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