What is the domain of f(x)=(4x+7)/(x^2+12x+27) ?

The domain of f(x)=(4x+7)/(x^2+12x+27) is x -3

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domain of f(x)=(4x+7)/(x^2+12x+27)

domain

f (x) = \frac{4 x + 7}{x ^{2} + 12 x + 27}

x < - 9 or - 9 < x < - 3 or x > - 3

Interval Notation

(- \infty, - 9) \cup (- 9, - 3) \cup (- 3, \infty)

Solution steps

Find undefined (singularity) points:

x = - 3, x = - 9

The function domain

x < - 9 or - 9 < x < - 3 or x > - 3

What is the domain of f(x)=(4x+7)/(x^2+12x+27) ?
The domain of f(x)=(4x+7)/(x^2+12x+27) is x<-9\lor-9<x<-3\lor x>-3