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

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

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domain of f(x)=(x+3)/(x^2+8x+15)

domain

f (x) = \frac{x + 3}{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) = \frac{1}{X ^{3 - 2 X^{2} - 15 X}}

\frac{5}{x ^{4} - 16}

f (x) = arcsin (x^{2} - 2 x)

f (x) = \frac{x - 2}{4 x ^{2} - 9}

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

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