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Question
Answer the following:
Find the domain of the following function.
f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`
Solution
f(x) = `(x^2 + 4x + 4)/(x^2 + x - 6)`
= `(x + 2)^2/((x + 3)(x - 2))`
f(x) is not defined if (x + 3) (x – 2) = 0,
i.e., if x = – 3 or x = 2
∴ Domain = R – {2, – 3}
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