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

f (x) = 2 - \frac{12}{x + 5}, - 7 \leq x \leq 7

lo g_{10} (2) (x - 2)

f (x) = x^{2} - x - 1

1 + sin (x)

2 x^{3} - 3 x^{2} - 12 x + 24

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