What is the domain of f(x)=((4x^2+4))/((2x^2-8)) ?

The domain of f(x)=((4x^2+4))/((2x^2-8)) is x 2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

domain of f(x)=((4x^2+4))/((2x^2-8))

domain

f (x) = \frac{( 4 x ^{2} + 4 )}{( 2 x ^{2} - 8 )}

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

What is the domain of f(x)=((4x^2+4))/((2x^2-8)) ?
The domain of f(x)=((4x^2+4))/((2x^2-8)) is x<-2\lor-2<x<2\lor x>2