What is the domain of f(x)=(x-9)/(x^2+18x+81) ?

The domain of f(x)=(x-9)/(x^2+18x+81) is x -9

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domain of f(x)=(x-9)/(x^2+18x+81)

domain

f (x) = \frac{x - 9}{x ^{2} + 18 x + 81}

x < - 9 or x > - 9

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 9

The function domain

x < - 9 or x > - 9

What is the domain of f(x)=(x-9)/(x^2+18x+81) ?
The domain of f(x)=(x-9)/(x^2+18x+81) is x<-9\lor x>-9