What is the domain of (x^2+5x)/(x^2+7x+10) ?

The domain of (x^2+5x)/(x^2+7x+10) is x -2

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domain of (x^2+5x)/(x^2+7x+10)

domain

\frac{x ^{2} + 5 x}{x ^{2} + 7 x + 10}

x < - 5 or - 5 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 5) \cup (- 5, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 5

The function domain

x < - 5 or - 5 < x < - 2 or x > - 2

f (x) = (x - 5)^{2} - 1

f (x) = \frac{x - 3}{( x + 4 ) ^{2}}

f (x) = \frac{x}{x ^{2} - 25}

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

2 x + 7 y = 14

What is the domain of (x^2+5x)/(x^2+7x+10) ?
The domain of (x^2+5x)/(x^2+7x+10) is x<-5\lor-5<x<-2\lor x>-2