Question

Find the domain of the following function.

f(x) = `x/(x^2 + 3x + 2)`

Answer 1

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}.