JEE PYQ: Functions Question 27
Question 27 - 2019 (09 Apr Shift 2)
The domain of the definition of the function $f(x) = \frac{1}{4-x^2} + \log_{10}(x^3 - x)$ is:
(1) $(-1, 0) \cup (1, 2) \cup (3, \infty)$
(2) $(-2, -1) \cup (-1, 0) \cup (2, \infty)$
(3) $(-1, 0) \cup (1, 2) \cup (2, \infty)$
(4) $(1, 2) \cup (2, \infty)$
Type: MCQ
Show Answer
Answer: (3) $(-1, 0) \cup (1, 2) \cup (2, \infty)$
Solution
$4 - x^2 \neq 0$ and $x^3 - x > 0$
$x \in (-1, 0) \cup (1, 2) \cup (2, \infty)$
BETA
