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Question

Question: The domain of the function \(f(x) = \sqrt{(2 - 2x - x^{2})}\) is...

The domain of the function f(x)=(22xx2)f(x) = \sqrt{(2 - 2x - x^{2})} is

A

3x3- 3 \leq x \leq \sqrt{3}

B

13x1+3- 1 - \sqrt{3} \leq x \leq - 1 + \sqrt{3}

C

2x2- 2 \leq x \leq 2

D

None of these

Answer

13x1+3- 1 - \sqrt{3} \leq x \leq - 1 + \sqrt{3}

Explanation

Solution

The quantity square root is positive, when

13x1+3.- 1 - \sqrt{3} \leq x \leq - 1 + \sqrt{3}. 8