Domain of the function 1+x-1-x x is - Vidyadip

MCQ

Domain of the function $\frac{\sqrt{1+x}-\sqrt{1-x}}{x}$ is

A
(-1,1)
B
(- 1, 1) - {0}
C
[-1,1]
✓
[- 1, 1] - {0}

✓

Answer

Correct option: D.

[- 1, 1] - {0}

(D)
$1+x \geq 0$
$\Rightarrow x \geq-1 ; 1-x \geq 0$
$\Rightarrow x \leq 1, x \neq 0$
Hence, domain is $[-1,1]-\{0\}$.

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