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

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

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domain of Y(x)=(x^2+3)/(x^2+x)

domain

Y (x) = \frac{x ^{2} + 3}{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) = (x - 2) \cdot (x^{2} + 3)

f (x) = - x^{3} - 2 x^{2} + 25 x + 50

f (x) = 10 x - 2

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