What is the domain of (x^2-2x-15)/(x^2+4x) ?

The domain of (x^2-2x-15)/(x^2+4x) is x 0

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domain of (x^2-2x-15)/(x^2+4x)

domain

\frac{x ^{2} - 2 x - 15}{x ^{2} + 4 x}

x < - 4 or - 4 < x < 0 or x > 0

Interval Notation

(- \infty, - 4) \cup (- 4, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 4

The function domain

x < - 4 or - 4 < x < 0 or x > 0

f (x) = 7 x^{2} - 8

20 x - 40 y = 160

y = - \frac{3}{4} x - 6

- - x^{2} - 4 x + 5 + 3

\frac{1}{x - 9}

What is the domain of (x^2-2x-15)/(x^2+4x) ?
The domain of (x^2-2x-15)/(x^2+4x) is x<-4\lor-4<x<0\lor x>0