What is the domain of (x^2+2x-15)/(x^2+7x+10) ?

The domain of (x^2+2x-15)/(x^2+7x+10) is x -2

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domain of (x^2+2x-15)/(x^2+7x+10)

domain

\frac{x ^{2} + 2 x - 15}{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 - 3 x - 1

f (x) = \frac{1}{25 - t}

f (x) = 5 x^{2} + 3 x - 10

\frac{x - 6}{x}

\frac{2 x + 3}{7 x - 5}

What is the domain of (x^2+2x-15)/(x^2+7x+10) ?
The domain of (x^2+2x-15)/(x^2+7x+10) is x<-5\lor-5<x<-2\lor x>-2