What is the domain of (x^2-4x+4)/(x^4-8x^2+16) ?

The domain of (x^2-4x+4)/(x^4-8x^2+16) 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 (x^2-4x+4)/(x^4-8x^2+16)

domain

\frac{x ^{2} - 4 x + 4}{x ^{4} - 8 x ^{2} + 16}

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) = 10 - 9 x

f (x) = - \frac{12}{2 x - 9}

f (x) = - 3 (x^{2} + 5)

g (x) = \frac{x ^{2}}{( x - 3 ) ( x + 4 ) ( x + 1 )}

g (x) = \frac{9}{x - 3}

What is the domain of (x^2-4x+4)/(x^4-8x^2+16) ?
The domain of (x^2-4x+4)/(x^4-8x^2+16) is x<-2\lor-2<x<2\lor x>2