Domain of the function f(x) = x - 3 (x - 1) x^2 - 4 is - Vidyadip

MCQ

Domain of the function $f(x) = \frac{{x - 3}}{{(x - 1)\sqrt {{x^2} - 4} }}$ is

A
$(1, 2)$
✓
$( - \infty ,\; - 2) \cup (2,\;\infty )$
C
$( - \infty ,\; - 2) \cup (1,\;\infty )$
D
$( - \infty ,\;\infty ) - \{ 1,\; \pm 2\} $

✓

Answer

Correct option: B.

$( - \infty ,\; - 2) \cup (2,\;\infty )$

b
Obviously, here $|x|\,\, > \,\,2$ and $x \ne 1$

$i.e.,$ $x \in ( - \,\infty ,\, - \,2)\, \cup \,(2,\,\infty )$.

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