i need help!!!!! Please in my assignment the due date is today

Subject Discrete Mathematics for Computing-cs285

4. What is the cardinality of each of these sets? a) {{a}} b) (a,(a)} c) {a,{a},{a,{a}}} d) {0} e) {0,{0},{0,{0)} 5. What is the power set of the set {1,a,b} ? 6. Let S={0,a,(a)} Determine whether each of these is an element of S, a subset of S, neither, or both. a) {a} b) {{a}} c) $ d) {{},a}) 7. Determine whether each of these statements is true or false. a) 0 b) {0} c) {0} d) {0} e) {0}{0} f) {0}{0} g) {0}{0} 8. Let A={a,b,c},B={x,y}, and C={0,1}. Find ABC. 9. Find A2 if A={0,a,3}. 10. Show that ABA 11. Show using membership table that (AB)(AB)=A. 12. Show using set identities' laws that (AB)(ABC)=A. 13. Find the truth set of the following predicate where the domain is the set of integers. R(x):2x+1=0 14. Let A={0,2,4,6,8,10},B={0,1,2,3,4,5,6}, and C={4,5,6,7,8,9,10}. Find a) (AB)C b) (AB)C c) B-A 15. Find U1nAi and 1nAi if Ai={,2,1,0,1,,i} 16. Find 1Ai and 1Ai if Ai={0,i}. 17. Determine whether f is a function from Z to Z if f(n)=n. 18. Determine whether the function f(n)=n3 from Z to Z is onto (surjective). a) f(x)=2x+1 b) f(x)=x2+1 20. Find the inverse function of f(x)=x3+1. 21. Given the following functions f and g, from R to R, Find fg for the following: a) f(x)=2x+1,g(x)=x2+4x+4 b) f(x)={(1,3),(2,4),(5,6),(4,8)},g(x)={(1,1),(4,5),(6,2)} 22 . Find these values. a) 1,1] b) [0.1] c) [21+[21]] d) [43] e) [43] f) [0.1]