DISCRETE MATH

DISCRETE MATH

DISCRETE MATH

DISCRETE MATH

DISCRETE MATH

PLEASE ANSWER THE FOLLOWING

Question 6 5 pts Consider the following sets: A ={a + bv/2 :a,bez), B=(a + bv/3:a,bez}, & S =[p + qv2:p,qEQ] Define the functions: f:A- B, f(a + bv/2) =b-av3; g:B - S, g(a + bv/3) = a + bv/2 ; & h:S- A, h(p + qv2)=Lp]+lawv2 Select only the correct statements. Hint: You may use the fact that a + bvu = c+ dvu - (a =c Ab = d) for any prime u and real numbers a, b, c and d. O g is surjective O g is bijective Oh is injective O AU BUS is uncountable Of is injective A U B is countable B U S is uncountable Of is surjective O A U S is countable O h is surjective