What is the domain of f(x)=(63)/(x^2+8x+15) ?

The domain of f(x)=(63)/(x^2+8x+15) is x -3

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domain of f(x)=(63)/(x^2+8x+15)

domain

f (x) = \frac{63}{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

\frac{x ^{2} - 4}{3 x ^{2}}

f (x) = 0.1 x + 0.2

f (x) = - \frac{1}{2 8 - x}

\frac{1 + x}{1 - 2 x}

(- 2, 2), (5, 2)

What is the domain of f(x)=(63)/(x^2+8x+15) ?
The domain of f(x)=(63)/(x^2+8x+15) is x<-5\lor-5<x<-3\lor x>-3