What is the domain of (6x-54)/(x^2-x-30) ?

The domain of (6x-54)/(x^2-x-30) is x 6

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domain of (6x-54)/(x^2-x-30)

domain

\frac{6 x - 54}{x ^{2} - x - 30}

x < - 5 or - 5 < x < 6 or x > 6

Interval Notation

(- \infty, - 5) \cup (- 5, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 5

The function domain

x < - 5 or - 5 < x < 6 or x > 6

f (x) = 2 x - 5, x < 3

\frac{x - 2}{x - 3}

f (x) = 3 tan (x)

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

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

What is the domain of (6x-54)/(x^2-x-30) ?
The domain of (6x-54)/(x^2-x-30) is x<-5\lor-5<x<6\lor x>6