What is the domain of sqrt((x^3-27)/x) ?

The domain of sqrt((x^3-27)/x) is x = 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of sqrt((x^3-27)/x)

domain

\frac{x ^{3} - 27}{x}

x < 0 or x \geq 3

Interval Notation

(- \infty, 0) \cup [3, \infty)

Solution steps

Find non-negative values for radicals:

x < 0 or x \geq 3

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq 3

x^{2} + 5 x - 6

- \frac{5 x}{x - 6}

y = \frac{3 x + 5}{x - 1}

f (x) = x - 3 x^{\frac{2}{3}}

f (x) = \frac{3 x + 1}{2 x - 2}

What is the domain of sqrt((x^3-27)/x) ?
The domain of sqrt((x^3-27)/x) is x<0\lor x>= 3