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

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

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

domain

f (x) = \frac{x ^{2} + 1 + 20 x}{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) = 2 x + 24

x^{2} - 5 x + 6

\frac{2 x ^{2} - 4 x}{x ^{2} + 4 x + 4}

f (x) = \frac{x}{4 x - 1}

f (x) = 5 + 1 + x

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