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Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions2 Marks
Question
Find the domain of following function given by $: \text{f(x)}=\frac{\text{x}^3-\text{x}+3}{\text{x}^2-1}$
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Answer

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

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