domain of the function f(x) x^2-3x+2/x^2+x-6 is
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solving it, f(x) = x2 - 3x +2 / x2 + x -6
= (x-1) ( x-2) / (x-1) (x-3) = (x-2) / (x-3)
= so, x+3 ≠ 0 so x ≠ -3
so, domain R - { -3}
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Answer:
to find domain we should find the roots of denominator.ie.we have to factorize x^2+x-6
it is (x-2)(x+3).
therefore x should not be 2 & -3.
domain = R - {2, -3}
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