What is the domain of sqrt((x+5)/(x^2-4)) ?

The domain of sqrt((x+5)/(x^2-4)) is -5 2

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domain of sqrt((x+5)/(x^2-4))

domain

\frac{x + 5}{x ^{2} - 4}

- 5 \leq x < - 2 or x > 2

Interval Notation

[- 5, - 2) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

- 5 \leq x < - 2 or x > 2

Find undefined (singularity) points:

x = 2, x = - 2

Combine real regions and undefined points for final function domain

- 5 \leq x < - 2 or x > 2

(2 - x) e^{- x} - 1

- x + 4 y = 0

y = - 2 x + 6 y

y = 4 x - 8

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

What is the domain of sqrt((x+5)/(x^2-4)) ?
The domain of sqrt((x+5)/(x^2-4)) is -5<= x<-2\lor x>2