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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

f (x) = x^{2} - 6 x + 13

f (x) = \frac{1}{∣ x ^{2} - 5 x + 6 ∣}

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

\frac{2 x ^{2} + 10 x + 12}{x ^{2} + 2 x - 3}

- \frac{1}{( x - 5 ) ^{4}}

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