Question

Find the domain of the following functions given by f(x) = `(x^3 - x + 3)/(x^2 - 1)`

Answer 1

For real value of x² – 1 ≠ 0

⇒ (x – 1)(x + 1) ≠ 0

⇒ x – 1 ≠ 0 or x + 1 ≠ 0

⇒ x ≠ 1 or x ≠ –1

Therefore, the domain of f = R – {–1, 1}