What is the domain of f(x)=(x+4)/(x^2+6x-27) ?

The domain of f(x)=(x+4)/(x^2+6x-27) is x 3

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domain of f(x)=(x+4)/(x^2+6x-27)

domain

f (x) = \frac{x + 4}{x ^{2} + 6 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

f (x) = \frac{8 x}{9 x - 7}

f (x) = \frac{x - 7}{x ^{2} - x - 42}

\frac{1}{2} x

f (x) = \frac{1}{3 x ^{2} + 4}

y = 2 - x + 1 + x

What is the domain of f(x)=(x+4)/(x^2+6x-27) ?
The domain of f(x)=(x+4)/(x^2+6x-27) is x<-9\lor-9<x<3\lor x>3