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

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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 < - 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) = 5 - 10 x

y = \frac{2 ^{2 - x}}{x}

\frac{1}{x - 9}

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

\frac{2 x ^{2}}{6 x ^{2} - x - 2}

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\lor-9<x<3\lor x>3