What is the domain of f(x)=(x^2+20x+1)/(x^2+2x+1) ?

The domain of f(x)=(x^2+20x+1)/(x^2+2x+1) is x -1

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domain of f(x)=(x^2+20x+1)/(x^2+2x+1)

domain

f (x) = \frac{x ^{2} + 20 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{1}{x ^{2} + 5}

f (x) = 2 tan (4 x - 32)

f (x) = ln (\frac{x ^{2} + 1}{x ^{2} - 1})

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

f (x) = \frac{e ^{x}}{x ^{8}}

What is the domain of f(x)=(x^2+20x+1)/(x^2+2x+1) ?
The domain of f(x)=(x^2+20x+1)/(x^2+2x+1) is x<-1\lor x>-1