What is the domain of f(x)=(sqrt(x^5-32))/(x-3) ?

The domain of f(x)=(sqrt(x^5-32))/(x-3) is 2 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(sqrt(x^5-32))/(x-3)

domain

f (x) = \frac{x ^{5} - 32}{x - 3}

2 \leq x < 3 or x > 3

Interval Notation

[2, 3) \cup (3, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 3

Combine real regions and undefined points for final function domain

2 \leq x < 3 or x > 3

What is the domain of f(x)=(sqrt(x^5-32))/(x-3) ?
The domain of f(x)=(sqrt(x^5-32))/(x-3) is 2<= x<3\lor x>3