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} $ .