What is the domain of sqrt(1-2x)-sqrt(3-2x-x^2) ?

The domain of sqrt(1-2x)-sqrt(3-2x-x^2) is -3<= x<= 1/2

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domain of sqrt(1-2x)-sqrt(3-2x-x^2)

domain

1 - 2 x - 3 - 2 x - x^{2}

- 3 \leq x \leq \frac{1}{2}

Interval Notation

[- 3, \frac{1}{2}]

Solution steps

Find non-negative values for radicals:

- 3 \leq x \leq \frac{1}{2}

The function domain

- 3 \leq x \leq \frac{1}{2}

y = x^{2} + 8

f (x) = 3 x^{3} - 14 x^{2} - 5 x

f (x) = \frac{3 x - 6}{x ^{2} + 5 x - 104}

f (x) = 7 x - 2

f (x) = - (\frac{1}{2})^{2} - x

What is the domain of sqrt(1-2x)-sqrt(3-2x-x^2) ?
The domain of sqrt(1-2x)-sqrt(3-2x-x^2) is -3<= x<= 1/2