Exercise on Language of Sets, Relation & Function Activity A. Try these! 1. Find a relation R such that - >1 if A = {0,1, 2} and B ={0, 1, 2, 3 }. 2. Find a relation R such that y is a power of x if A = {1, 2, 3} and B = {1, 4, 5, 9} B. Exercises: Let f(x) = x - 3 , g(x) = 2x + 1 and h(x) = x2 - 5. Find the following 1. fog 2. fo h 3. hog 4. g of 5. goh C. Exercise: Determine the domain of each of the following functions: 1. f(x) = x + 10 6. A(x) = x2 -2 2. F(x) = = x + 5 7. H(x) = Vx - 2 3. g(x) = 5- 3x 8. K(x) = Vx2 - 2 4. g(x) = 1 9. C(x) = 2x3 + 4x2 - 2x + 1 (x+5)(x-1) 5. b(x) = - x-1 10 Vx+1 x2+5x+6 x- 2E. Refer to a group of 191 students, of which 10 are taking math, business, and language; 36 are taking math and business; 20 are taking math and language; 18 are taking business and language; 65 are taking math; 76 are taking business and 63 are taking language. 26-30. Illustrate the Venn Diagram 31. How many are taking math and language but not business? 32. How many are taking at least 2 subjects? 33. How many are neither taking math nor business? 34. How many are taking exactly 1 subject? 35. How many are not taking any of the three Subjects