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

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

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

domain

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

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

y = 3 x + 2

(- 1, - 6), (- 6, 5)

f (x) = 7 sec (x) - 2 x

\frac{x - 2}{x ^{2} - 9}

f (x) = 3 x

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