What is the domain of f(x)=(x+3)/(x^2-6x-27) ?

The domain of f(x)=(x+3)/(x^2-6x-27) is x 9

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domain of f(x)=(x+3)/(x^2-6x-27)

domain

f (x) = \frac{x + 3}{x ^{2} - 6 x - 27}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 9, x = - 3

The function domain

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

f (x) = \frac{1}{x ^{2} + 2 x - 3} + x + 2

f (x) = - \frac{9}{50} x + 72

ln ∣ 2 x + 1 ∣ - sin (3 x - 2)

e^{x - 1} + 1

3 v^{2} - 75

What is the domain of f(x)=(x+3)/(x^2-6x-27) ?
The domain of f(x)=(x+3)/(x^2-6x-27) is x<-3\lor-3<x<9\lor x>9