What is the domain of sqrt((x^2+5x+6)/(x+15)) ?

The domain of sqrt((x^2+5x+6)/(x+15)) is -15 =-2

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domain of sqrt((x^2+5x+6)/(x+15))

domain

\frac{x ^{2} + 5 x + 6}{x + 15}

- 15 < x \leq - 3 or x \geq - 2

Interval Notation

(- 15, - 3] \cup [- 2, \infty)

Solution steps

Find non-negative values for radicals:

- 15 < x \leq - 3 or x \geq - 2

Find undefined (singularity) points:

x = - 15

Combine real regions and undefined points for final function domain

- 15 < x \leq - 3 or x \geq - 2

What is the domain of sqrt((x^2+5x+6)/(x+15)) ?
The domain of sqrt((x^2+5x+6)/(x+15)) is -15<x<=-3\lor x>=-2