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}. $