What is the domain of f(x)=(3x^2+6)/(x^2-2x-3) ?

The domain of f(x)=(3x^2+6)/(x^2-2x-3) 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)=(3x^2+6)/(x^2-2x-3)

domain

f (x) = \frac{3 x ^{2} + 6}{x ^{2} - 2 x - 3}

x < - 1 or - 1 < x < 3 or x > 3

Interval Notation

(- \infty, - 1) \cup (- 1, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

x = 3, x = - 1

The function domain

x < - 1 or - 1 < x < 3 or x > 3

What is the domain of f(x)=(3x^2+6)/(x^2-2x-3) ?
The domain of f(x)=(3x^2+6)/(x^2-2x-3) is x<-1\lor-1<x<3\lor x>3