What is the domain of f(x)=sqrt(-x\sqrt{4-x^2)} ?

The domain of f(x)=sqrt(-x\sqrt{4-x^2)} is -2<= x<= 0\lor x=2

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domain of f(x)=sqrt(-x\sqrt{4-x^2)}

domain

f (x) = - x 4 - x^{2}

- 2 \leq x \leq 0 or x = 2

Interval Notation

[- 2, 0] \cup x = 2

Solution steps

Find non-negative values for radicals:

- 2 \leq x \leq 0 or x = 2

The function domain

- 2 \leq x \leq 0 or x = 2

f (x) = \frac{x ^{2}}{x ^{2} - 3}

f (x) = \frac{2 x + 3}{1 - 5 x}

f (x) = \frac{x}{4 - x ^{2}}

f (x) = 7 x - 21

f (x) = 1 - 1

What is the domain of f(x)=sqrt(-x\sqrt{4-x^2)} ?
The domain of f(x)=sqrt(-x\sqrt{4-x^2)} is -2<= x<= 0\lor x=2