What is the domain of sqrt((x-2)/(x^3-2x^2-15x)) ?

The domain of sqrt((x-2)/(x^3-2x^2-15x)) is x 5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of sqrt((x-2)/(x^3-2x^2-15x))

domain

\frac{x - 2}{x ^{3} - 2 x ^{2} - 15 x}

x < - 3 or 0 < x \leq 2 or x > 5

Interval Notation

(- \infty, - 3) \cup (0, 2] \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x < - 3 or 0 < x \leq 2 or x > 5

Find undefined (singularity) points:

x = 0, x = - 3, x = 5

Combine real regions and undefined points for final function domain

x < - 3 or 0 < x \leq 2 or x > 5

What is the domain of sqrt((x-2)/(x^3-2x^2-15x)) ?
The domain of sqrt((x-2)/(x^3-2x^2-15x)) is x<-3\lor 0<x<= 2\lor x>5