What is the domain of (x^2+x+1)/(x^2+2x+1) ?

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

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domain of (x^2+x+1)/(x^2+2x+1)

domain

\frac{x ^{2} + x + 1}{x ^{2} + 2 x + 1}

x < - 1 or x > - 1

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1

The function domain

x < - 1 or x > - 1

f (x) = \frac{x ^{2} + 7 x + 12}{x ^{4} - 5 x ^{2} + 4}

f (x) = \frac{x}{x + 9}

y = x^{2} + 5 x + 6

y = \frac{x + 1}{x}

f (x) = 3 x + 2 - 1

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