What is the domain of f(x)=(x-5)/(x^2-9) ?

The domain of f(x)=(x-5)/(x^2-9) is x 3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=(x-5)/(x^2-9)

domain

f (x) = \frac{x - 5}{x ^{2} - 9}

x < - 3 or - 3 < x < 3 or x > 3

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 3, x = - 3

The function domain

x < - 3 or - 3 < x < 3 or x > 3

What is the domain of f(x)=(x-5)/(x^2-9) ?
The domain of f(x)=(x-5)/(x^2-9) is x<-3\lor-3<x<3\lor x>3