What is the domain of (x-1)/(x^2-x-12) ?

The domain of (x-1)/(x^2-x-12) is x 4

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domain of (x-1)/(x^2-x-12)

domain

\frac{x - 1}{x ^{2} - x - 12}

x < - 3 or - 3 < x < 4 or x > 4

Interval Notation

(- \infty, - 3) \cup (- 3, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 3

The function domain

x < - 3 or - 3 < x < 4 or x > 4

- 2 sin (\frac{x}{2} - \frac{π}{3}) + 5

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

f (x) = \frac{x - 4}{3 x + 5}

cos (4 x)

f (x) = 4 - 5 x

What is the domain of (x-1)/(x^2-x-12) ?
The domain of (x-1)/(x^2-x-12) is x<-3\lor-3<x<4\lor x>4