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

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

domain

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

2 y = - 7

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

(x - 3) x

f (x) = \frac{1}{5} x^{2} - \frac{8}{5} x + \frac{1}{5}

y = 2 x - 4

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