What is the domain of f(x)=(x-3)/(x^2-4x-12) ?

The domain of f(x)=(x-3)/(x^2-4x-12) is x 6

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-3)/(x^2-4x-12)

domain

f (x) = \frac{x - 3}{x ^{2} - 4 x - 12}

x < - 2 or - 2 < x < 6 or x > 6

Interval Notation

(- \infty, - 2) \cup (- 2, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 2

The function domain

x < - 2 or - 2 < x < 6 or x > 6

x^{2} - 4 x + 3

f (x) = \frac{5}{2 x + 3}

- 5

f (x) = 3 x + 2 y = - 6

5

What is the domain of f(x)=(x-3)/(x^2-4x-12) ?
The domain of f(x)=(x-3)/(x^2-4x-12) is x<-2\lor-2<x<6\lor x>6