What is the domain of (4-x^2)/(x^2+x) ?

The domain of (4-x^2)/(x^2+x) is x 0

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domain of (4-x^2)/(x^2+x)

domain

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

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) = 2 \cdot e^{x^{2} - 4 x}

x^{2} + 14 x + 7

f (x) = \frac{4 x + 8}{x - 1}

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

\frac{3 x}{5 + 4 x}

What is the domain of (4-x^2)/(x^2+x) ?
The domain of (4-x^2)/(x^2+x) is x<-1\lor-1<x<0\lor x>0