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To find: the domain of the given function Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain We have Now for real value x2-x-6≠0 Splitting the middle term, we get :
⇒ x2-3x + 2x-6≠0
⇒ x(x-3) + 2(x-3)≠0
⇒ (x-3)(x + 2)≠0
⇒ x-3≠ 0 or x + 2≠0
⇒ x≠3 or x≠-2
Hence the domain of given function is R-{-2, 3} So the correct answer is option (A)
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