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

The domain of y=(2-x)/(x^2+x^3) is x 0

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

domain

y = \frac{2 - x}{x ^{2} + x ^{3}}

x < - 1 or - 1 < x < 0 or x > 0

Interval Notation

(- \infty, - 1) \cup (- 1, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 1

The function domain

x < - 1 or - 1 < x < 0 or x > 0

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

- \frac{3}{4} x + 1

f (x) = \frac{1}{x ^{2} - 7 x + 10}

- 8 + 6 x - x^{2}

\frac{x ^{2} - 3 x + 1}{x ^{3} - 1}

What is the domain of y=(2-x)/(x^2+x^3) ?
The domain of y=(2-x)/(x^2+x^3) is x<-1\lor-1<x<0\lor x>0