Functions Question 447
Question: Domain of the function $ f(x)=\sqrt{2-2x-x^{2}} $ is
[BIT Ranchi 1992]
Options:
A) $ -\sqrt{3}\le x\le \sqrt{3} $
B) $ -1-\sqrt{3}\le x\le -1+\sqrt{3} $
C) $ -2\le x\le 2 $
D) $ -2+\sqrt{3}\le x\le -2-\sqrt{3} $
Show Answer
Answer:
Correct Answer: B
Solution:
The quantity under root is positive, when $ -1-\sqrt{3}\le x\le -1+\sqrt{3}. $