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Question
Find the domain of the following function.
f(x) = `x/(x^2 + 3x + 2)`
Solution
f is a rational function of the form `(g(x))/(h(x))`
Where g(x) = x and h(x) = x2 + 3x + 2.
Now h(x) ≠ 0
⇒ x2 + 3x + 2 ≠ 0
⇒ (x + 1)(x + 2) ≠ 0
Hence domain of the given function is R – {– 1, – 2}.
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