What is the domain of f(x)=(x^2-x+1)/(x^3+1) ?

The domain of f(x)=(x^2-x+1)/(x^3+1) is x -1

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domain of f(x)=(x^2-x+1)/(x^3+1)

domain

f (x) = \frac{x ^{2} - x + 1}{x ^{3} + 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 + 5}{x - 3}

f (x) = y + 5 = 2 (x + 1) y + 5 = 2 (x + 1)

(2, - 1), (- 6, 0)

f (x) = \frac{- 2 x - 9}{4 x - 19}

What is the domain of f(x)=(x^2-x+1)/(x^3+1) ?
The domain of f(x)=(x^2-x+1)/(x^3+1) is x<-1\lor x>-1