Assignment on sets and matrix, math homework help

1) Universal Set {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10},

Set A – {0, 1, 3, 5, 9} and Set B – {2, 3, 4, 7, 8, 9}

Answer the following questions.

a) A∩B =

b) A∪B =

c) A’ ∩ B’ =

d) n(A∪B)c =

e) B – A =

f) A’ ∩ B =

2) n(U) = 50, n(A) = 33, n(B) = 22 and n(AUB)’ = 5.

Find :-

a) n(A∩B) =

b) n(A – B) =

c) n(A∪B) =

3) If A = 1 4 and B = 5 1

2 -3 6 -2

Find

a) AB b) A+B c) BTA d) A-1

4) Using matrix method solve the following simultaneous equations

1x + 3y = 6

2x – 4y = 2

5) Given that f(x) = 3x + 2 and g(x) = 2x – 1 ;

Find:- i) f(3) ii) g(7) iii) f[g(1)] iv) g[f(-3)] v) f[g(x)] vi) g-1(11)

6. Given the functions f(x) = 3x + 2 find f-1(x)

2x – 1