What is the domain of f(x)= x/((x^2+14x+45)) ?

The domain of f(x)= x/((x^2+14x+45)) is x -5

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domain of f(x)= x/((x^2+14x+45))

domain

f (x) = \frac{x}{( x ^{2} + 14 x + 45 )}

x < - 9 or - 9 < x < - 5 or x > - 5

Interval Notation

(- \infty, - 9) \cup (- 9, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5, x = - 9

The function domain

x < - 9 or - 9 < x < - 5 or x > - 5

What is the domain of f(x)= x/((x^2+14x+45)) ?
The domain of f(x)= x/((x^2+14x+45)) is x<-9\lor-9<x<-5\lor x>-5