What is the domain of f(x)=(3x-6)/(x^2-4) ?

The domain of f(x)=(3x-6)/(x^2-4) is x 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

domain of f(x)=(3x-6)/(x^2-4)

domain

f (x) = \frac{3 x - 6}{x ^{2} - 4}

x < - 2 or - 2 < x < 2 or x > 2

Interval Notation

(- \infty, - 2) \cup (- 2, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

x < - 2 or - 2 < x < 2 or x > 2

f (x) = 2 x - 6

f (x) = - \frac{3}{4} x - 2

(- 7, 2), (8, 2)

(0, 0), (0, 8)

f (x) = - \frac{1}{2} x + 5

What is the domain of f(x)=(3x-6)/(x^2-4) ?
The domain of f(x)=(3x-6)/(x^2-4) is x<-2\lor-2<x<2\lor x>2