Functions Question 460
Question: Domain of the function $ f(x)=\frac{x-3}{(x-1)\sqrt{x^{2}-4}} $ is
[BIT Ranchi 1991]
Options:
A) (1, 2)
B) $ (-\infty ,\ -2)\cup (2,\ \infty ) $
C) $ (-\infty ,\ -2)\cup (1,\ \infty ) $
D) $ (-\infty ,\ \infty )-{1,\ \pm 2} $
Show Answer
Answer:
Correct Answer: B
Solution:
Obviously, here $ |x|>2 $ and $ x\ne 1 $ i.e., $ x\in (-,\infty ,,-,2),\cup ,(2,,\infty ) $ .
BETA
