What is the domain of f(x)=(sqrt(x^2-25))/(x-5) ?

The domain of f(x)=(sqrt(x^2-25))/(x-5) is x 5

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^2-25))/(x-5)

domain

f (x) = \frac{x ^{2} - 25}{x - 5}

x \leq - 5 or x > 5

Interval Notation

(- \infty, - 5] \cup (5, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 5 or x \geq 5

Find undefined (singularity) points:

x = 5

Combine real regions and undefined points for final function domain

x \leq - 5 or x > 5

What is the domain of f(x)=(sqrt(x^2-25))/(x-5) ?
The domain of f(x)=(sqrt(x^2-25))/(x-5) is x<=-5\lor x>5