What is the domain of f(x)=sqrt((-x^2+4)/(-x)) ?

The domain of f(x)=sqrt((-x^2+4)/(-x)) is -2 = 2

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domain of f(x)=sqrt((-x^2+4)/(-x))

domain

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

- 2 \leq x < 0 or x \geq 2

Interval Notation

Solution steps

Find non-negative values for radicals:

- 2 \leq x < 0 or x \geq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

- 2 \leq x < 0 or x \geq 2

f (x) = 81 x

y = \frac{x ^{3}}{8} - \frac{x}{6} + c x^{- 5}

f (x) = \frac{2}{4 x - 1}

f (x) = \frac{5 - 2 x}{4 x - 2}

f (x) = - 5 x^{2} + 4

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