What is the domain of (x-9)/(x^2-12x+27) ?

The domain of (x-9)/(x^2-12x+27) is x 9

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domain of (x-9)/(x^2-12x+27)

domain

\frac{x - 9}{x ^{2} - 12 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) = 2^{x + 2} - 8

f (x) = x - 2 + \frac{3 x + 8}{x - 6}

f (y) = \frac{5}{2}

f (x) = \frac{x ^{2} - 7}{4}

y = - x (x - 2)^{4} (x + 3)

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