Functions Question 496
Question: Domain of the function $ \frac{\sqrt{1+x}-\sqrt{1-x}}{x} $ is
Options:
A) (?1, 1)
B) (?1, 1)?{0}
C) [?1, 1]
D) [?1, 1]?{0}
Show Answer
Answer:
Correct Answer: D
Solution:
$ 1+x\ge 0\Rightarrow x\ge -1 $ ; $ 1-x\ge 0\Rightarrow x\le 1,x\ne 0 $ Hence domain is $ [-1,,1]-{0} $ .