Transcribed Image Text: 10. Let (X, Tx) and (Y, Ty) be two topological spaces, such that X = {a, b,c, d}, Tx = {ó, X,

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 =
{ó,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) = g(d) = 2, g(c) = 3
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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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