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

The domain of f(x)=(x+6)/(x^2+6x+5) is x -1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

domain

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

x < - 5 or - 5 < x < - 1 or x > - 1

Interval Notation

(- \infty, - 5) \cup (- 5, - 1) \cup (- 1, \infty)

Solution steps

Find undefined (singularity) points:

x = - 1, x = - 5

The function domain

x < - 5 or - 5 < x < - 1 or x > - 1

in v erse f (x) = (x^{7} + 4)^{\frac{1}{5}}

in v erse f (x) = 3 - 5 x

p er i o d i c i t y f (x) = cos^{2} (\frac{π}{3} t)

a sy m pt o t es f (x) = \frac{3 x}{x ^{2} + 9}

r an g e f (x) = \frac{2 x - 2}{x + 2}

What is the domain of f(x)=(x+6)/(x^2+6x+5) ?
The domain of f(x)=(x+6)/(x^2+6x+5) is x<-5\lor-5<x<-1\lor x>-1