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

The domain of f(x)=(2x-1)/(x^2+2x) is x 0

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

domain

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

x < - 2 or - 2 < x < 0 or x > 0

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 2

The function domain

x < - 2 or - 2 < x < 0 or x > 0

3 x^{4} x

x^{2} - 12 x + 58

5 x^{3} + 2 x^{2} - 7 x

\frac{1}{x e ^{x}}

f (x) = 2 x^{2} - 16 x - 9

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