What is the domain of (x^2-8x+12)/(x^2-2x-24) ?

The domain of (x^2-8x+12)/(x^2-2x-24) is x 6

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domain of (x^2-8x+12)/(x^2-2x-24)

domain

\frac{x ^{2} - 8 x + 12}{x ^{2} - 2 x - 24}

x < - 4 or - 4 < x < 6 or x > 6

Interval Notation

(- \infty, - 4) \cup (- 4, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 4

The function domain

x < - 4 or - 4 < x < 6 or x > 6

f (x) = \frac{x}{x ^{2} + 11 x + 28}

\frac{tan ( x )}{x}

f (x) = 3 x - 2

\frac{tan ( x ^{5} )}{x ^{3}}

f (x) = \frac{4 x ^{2} - 5}{2 x ^{2} + 8}

What is the domain of (x^2-8x+12)/(x^2-2x-24) ?
The domain of (x^2-8x+12)/(x^2-2x-24) is x<-4\lor-4<x<6\lor x>6