What is the domain of (x^2+3x-10)/(x^2+8x+15) ?

The domain of (x^2+3x-10)/(x^2+8x+15) is x -3

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domain of (x^2+3x-10)/(x^2+8x+15)

domain

\frac{x ^{2} + 3 x - 10}{x ^{2} + 8 x + 15}

x < - 5 or - 5 < x < - 3 or x > - 3

Interval Notation

(- \infty, - 5) \cup (- 5, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = - 5

The function domain

x < - 5 or - 5 < x < - 3 or x > - 3

f (x) = 2022

((x))^{2}

\frac{5 x}{6 x - 7}

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

ln (e^{x})

What is the domain of (x^2+3x-10)/(x^2+8x+15) ?
The domain of (x^2+3x-10)/(x^2+8x+15) is x<-5\lor-5<x<-3\lor x>-3