e inverse inmage of the
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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Question
![-2, r<0,
9. Let f: R R be defined by f(x)
then f-(]1,3[) (the inverse image of the
r+ 2, x20
interval ]1,3[ under f) is
(a) ]3, 5[U] – 1,1[
(b) [0, 1[
(c) 1- 1, 1[
(d) None of the above](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ae63c07-4f5e-4a9d-bad2-644d62c7e0a0%2Ff35d1d39-dbeb-451a-91ae-e22598ffa4b6%2Fmujcmpk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:-2, r<0,
9. Let f: R R be defined by f(x)
then f-(]1,3[) (the inverse image of the
r+ 2, x20
interval ]1,3[ under f) is
(a) ]3, 5[U] – 1,1[
(b) [0, 1[
(c) 1- 1, 1[
(d) None of the above
Transcribed Image Text:10. Let (X, Tx) and (Y, Ty) be two topological spaces, such that
X = {a, b,c, d}, Tx = {ó, X, {a}, {a, b}, {a, b, c}}
Y = {1,2,3, 4}, Ty = {0,Y, {2}, {2,3, 4}}
Consider the functions f: X Y and g: X Y defined by
f(a) = f(b) = 2, f(c) = 4, f(d) = 3
g(a) = g(b) = 9(d) = 2, g(c) = 3
%3D
Then
(a) f and g are both continuous
(b) f and g are both discontinuous
(c) f is discontinuous and g is continuous
(d) f is continuous and g is discontinuous
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