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The domain of the function f given by f(x) = (x^2+2x+1)/(x^2-x-6)

A. R - \left \{3, - 2\right \}
B. R - \left \{-3, 2\right \}
C. R - [3, - 2]
D. R - (3, - 2)

Answers (1)

Given data: f(x) = (x^2+2x+1)/(x^2-x-6)

Now, f(x) is defined by x^2-x-6=0

Thus, x^2-3x+2x-6\neq0

(x-3)(x+2) \neq 0

Thus,x \neq -2 or 3

Thus domain of f(x) = R-\left \{-2,3\right \}

Hence the correct answer is opt (a).
 

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