What is the domain of f(x)= x/(x^2+5x+6) ?

The domain of f(x)= x/(x^2+5x+6) 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)= x/(x^2+5x+6)

domain

f (x) = \frac{x}{x ^{2} + 5 x + 6}

x < - 3 or - 3 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 3) \cup (- 3, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 3

The function domain

x < - 3 or - 3 < x < - 2 or x > - 2

f (x) = \frac{3 x - 9}{x - 4}

f (x) = \frac{2 x + 3}{5 x + 4}

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

\frac{3}{4}

f (x) = ln (3 - 2 x)

What is the domain of f(x)= x/(x^2+5x+6) ?
The domain of f(x)= x/(x^2+5x+6) is x<-3\lor-3<x<-2\lor x>-2