If function f: R → R is given by f (x) = x 2 + 2x - 3 and function g : R → R is gien by g(x) = 3x - 4, then (gof) (x) is given by
| A. | 9x2 + 18 x + 5 |
| B. | 3x2 + 6x - 13 |
| C. | x 2 + x - 7 |
| D. | x2 - 5x - 1 |
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Option: B Explanation : Click on Discuss to view users comments. |
If I A I =m and I B I = n, then number of possible relations R : A → B is
| A. | mn |
| B. | (mn)2 |
| C. | 2m+n |
| D. | 2mn |
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Option: D Explanation : Click on Discuss to view users comments. |
| A. | I only |
| B. | I and II only |
| C. | I and III only |
| D. | III only |
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Option: C Explanation : Click on Discuss to view users comments. |
If R be a relation from A= {1, 2, 3, 4} to B = {1, 3, 5}. i.e. (a, b) ∈ R if a < b, then RoR-1 is
| A. | {(1, 3); (1, 5), (2, 3), (2, 5), (3, 5), (4, 5)} |
| B. | {(3, 1), (5, 1) (3,2), (5,2), (5,3), (5,4)} |
| C. | {(3, 3), (3, 5), (5, 3), (5, 5)} |
| D. | {(3, 3), (3, 4), (4, 5)} |
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Option: C Explanation : Click on Discuss to view users comments. |
