What is the domain of f(x)=(x^2-1)/(x^2+2x-3) ?

The domain of f(x)=(x^2-1)/(x^2+2x-3) is x 1

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^2-1)/(x^2+2x-3)

domain

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

x < - 3 or - 3 < x < 1 or x > 1

Interval Notation

(- \infty, - 3) \cup (- 3, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1, x = - 3

The function domain

x < - 3 or - 3 < x < 1 or x > 1

x = - 19, (6, 1)

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

y = m x + b

(0, - 7), (- 6, - 2)

f (x) = \frac{1}{5} x - \frac{1}{4}

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