Find the domain of following function given by: f(x)= x^3-x+3 x^2… - Vidyadip

Question

Find the domain of following function given by:
$\text{f(x)}=\frac{\text{x}^3-\text{x}+3}{\text{x}^2-1}$

✓

Answer

We have, $\text{f(x)}=\frac{\text{x}^3-\text{x}+3}{\text{x}^2-1}$
f(x) is not defined, if x² - 1 = 0
⇒ (x - 1)(x + 1) = 0
⇒ x = -1, 1
$\therefore$ Domain of f = R - {-1, 1}

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