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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

domain

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

x < - 1 or - 1 < x < 4 or x > 4

Interval Notation

(- \infty, - 1) \cup (- 1, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 1

The function domain

x < - 1 or - 1 < x < 4 or x > 4

\frac{x - 1}{( x - 2 ) ( x + 4 )}

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

f (x) = \frac{x - 6}{6}

f (x) = - 4 x - 5

5^{x} + 3

What is the domain of f(x)=(x^2+x-2)/(x^2-3x-4) ?
The domain of f(x)=(x^2+x-2)/(x^2-3x-4) is x<-1\lor-1<x<4\lor x>4