Functions Question 607

Question: Domain of $ f(x)={{(x^{2}-1)}^{-1/2}} $ is

[Roorkee 1987]

Options:

A) $ (-\infty ,\ -1)\cup (1,\ \infty ) $

B) $ (-\infty ,\ -1]\cup (1,\ \infty ) $

C) $ (-\infty ,\ -1]\cup [1,\ \infty ) $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

Here $ |x|>1, $ therefore $ x\in (-,\infty ,,-1),\cup ,(1,\infty ). $