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) = 2 cot (x)

f (x) = \frac{7 x - 9}{9 x + 5}

f (x) = ln (∣ 2 x - 4 ∣ - 6) - 1

y = \frac{4 x - 15}{4 x - 12}

f (x) = 2 cos (5 x - \frac{π}{6}) + 1

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