(4) (20 pts) Consider functions f.9: {a,b,c,d} + {2,0 Consider functions f,g: {a,b,c,d} + {a,b,c,d} defined by the table | f(z) | g(%) | id fog | go f|-|g-1 (a) (1pt) Write the values of id on {a,b,c,d) in the corresponding column. (b) (2pt) Write the values of fog in the corresponding column. (C) (2pt) Write the values of g of in the corresponding column. (d) (3pt) If f injective/surjective? Explain. (e) (3pt) If g injective/surjective? Explain. (f) (2pt) If f has the inverse function, then write its values in the corresponding colu (g) (2pt) If y has the inverse function, then write its values in the corresponding colui (h) (3pt) Let A = {b,c}. Compute f(A). (i) (3pt) Let A = {a}. Compute y-(A)