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

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

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

domain

f (x) = \frac{x}{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{x - 5}{x ^{2} - 5 x + 6}

\frac{17 x - 30}{33 x - 29}

f (x) = \frac{x - 1}{x + 5}

\frac{x + 4}{x - 3}

f (x) = x - 1 - 3

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