Answer
a) Image Below
b)
g(A) = g({2,3}) = {a,a} = {a}
g(X)= g({1,2,3,4}) = {a,a,a,d} = {a,d}
g −1(C) = g −1({a})= {1,2,3}
g −1(D) = g −1({b,c}) = ∅
g −1(Y) = g −1({a,b,c,d,e}) = {1,2,3,4} = X
Work Step by Step
a) Image Below
b)
g(A) = g({2,3}) = {a,a} = {a}
g(X)= g({1,2,3,4}) = {a,a,a,d} = {a,d}
g −1(C) = g −1({a})= {1,2,3}
g −1(D) = g −1({b,c}) = ∅
g −1(Y) = g −1({a,b,c,d,e}) = {1,2,3,4} = X