Saved Bookmarks
| 1. |
Let f be the subset of Z x Z defined by f ={(ab,a +b):a,b ∈ z) Is f a function from Z to Z? |
|
Answer» Given f = {(ab, a + b):a,b ∈ Z) If a = 1 and b = 4 = ab = 4 and a + b = 5 ∴ (4,5) ∈ f If a = 2 and b = 2 ⇒ ab = 4 and a + b = 4 ∴ (4,4) ∈ f ∴ The element 4 has two images, so f is not a function. |
|