Q. 334.8( 5 Votes )

# The domain of the

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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