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

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

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

domain

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

\frac{x - 7}{x + 2}

y = 1 - ∣ x ∣

f (x) = \frac{x}{x + 5}

\frac{4}{2 x ^{2} - 3}

lo g_{10} (2 x^{2} - 5 x + 3)

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