What is the domain of sqrt((-x^2+x-3)/(x^2-4)) ?

The domain of sqrt((-x^2+x-3)/(x^2-4)) is -2<x<2

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domain of sqrt((-x^2+x-3)/(x^2-4))

domain

\frac{- x ^{2} + x - 3}{x ^{2} - 4}

- 2 < x < 2

Interval Notation

(- 2, 2)

Solution steps

Find non-negative values for radicals:

- 2 < x < 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 2 < x < 2

x^{2} - 4

y = x^{2} + 10 x + 27

\frac{3}{x} + 5

y = 4 x + 6, (4, 2)

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

What is the domain of sqrt((-x^2+x-3)/(x^2-4)) ?
The domain of sqrt((-x^2+x-3)/(x^2-4)) is -2<x<2