Let X = {a, b, c, d} and TX = {0, X, (b}, (b.c), (a.b.d}} be a topology on X. Let Y=(1. 2, 3, 4) and TY -(0, Y, (3}, {1,2,3} } be a topology on Y. Let f be a mapping from X into Y defined by f(a)-f(b)...

Extracted text: Let X = {a, b, c, d} and TX = {0, X, (b}, (b.c), (a.b.d}} be a topology on X. Let Y=(1. 2, 3, 4) and TY -(0, Y, (3}, {1,2,3} } be a topology on Y. Let f be a mapping from X into Y defined by f(a)-f(b) = 3, f(c) = 2 and f(d) = 1. Let g be mapping from x into Y defined by g(a) = 1, g(b)-g(c)-3 and g(d) -2. Then * %D %3D O fand g are both continuous fis not continuous and g is continuous fand g arenot continuous fis continuous and g is not continuous