What is the domain of-sqrt(3-3x-x^2) ?

The domain of-sqrt(3-3x-x^2) is (-sqrt(21)-3)/2 <= x<= (sqrt(21)-3)/2

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domain of-sqrt(3-3x-x^2)

domain

- 3 - 3 x - x^{2}

\frac{- 21 - 3}{2} \leq x \leq \frac{21 - 3}{2}

Interval Notation

[\frac{- 21 - 3}{2}, \frac{21 - 3}{2}]

Solution steps

Find non-negative values for radicals:

\frac{- 21 - 3}{2} \leq x \leq \frac{21 - 3}{2}

The function domain

\frac{- 21 - 3}{2} \leq x \leq \frac{21 - 3}{2}

\frac{3}{x ^{2} + 2 x - 35}

f (x) = (x + 2) (x - 3)

f (x) = ln (3 x + 8) - 8

(x - 1) e^{\frac{1}{x}}

x (y - 2) = 6

What is the domain of-sqrt(3-3x-x^2) ?
The domain of-sqrt(3-3x-x^2) is (-sqrt(21)-3)/2 <= x<= (sqrt(21)-3)/2