Find domain and range of function Let `A={-2;-1;0;1;2} and f:A->Z` be given by `f(x)=x^2-2x-3)` (a)find the range of f (b) find preimages of 6;-3 and 5

Explanation

Let x be the pre-image of −3.Then,

`f(x)=−3⇒x^2−2x−3=−3`

`⇒x^2−2x=0`

`⇒x(x−2)=0`

`⇒x=0,2`

Clearly,0 and 2 are pre-images of −3

Let x be the pre-image of 5.Then,

`f(x)=5⇒x^2−2x−3=5`

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