Answer :

Given:


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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