What is the domain of f(x)=(x+1)/(x^2+6x+5) ?

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

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

domain

f (x) = \frac{x + 1}{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

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