Domain of the function f(x)= x 1+x is - Vidyadip

MCQ

Domain of the function $f(x)=\sqrt{\frac{x}{1+x}}$ is

✓
$(-\infty,-1) \cup(0, \infty)$
B
R
C
$[0, \infty)$
D
$(-\infty,-1)$

✓

Answer

Correct option: A.

$(-\infty,-1) \cup(0, \infty)$

(A)
For domain, take $\frac{x}{1+x} \geq 0$
$\therefore D _{ f }=(-\infty,-1) \cup[0, \infty)$

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