What is the domain of (21}{x^2-x-12}+\frac{x-5)/6-23 ?

The domain of (21}{x^2-x-12}+\frac{x-5)/6-23 is x 4

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domain of (21}{x^2-x-12}+\frac{x-5)/6-23

domain

\frac{21}{x ^{2} - x - 12} + \frac{x - 5}{6} - 23

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

f (x) = ln (8 - x)

\frac{x ^{2} - 12}{6}

f (x) = \frac{x + 1}{2 - x}

f (x) = \frac{2 x - 4}{x ^{2} + 5 x - 14}

y = 2 sec (x)

What is the domain of (21}{x^2-x-12}+\frac{x-5)/6-23 ?
The domain of (21}{x^2-x-12}+\frac{x-5)/6-23 is x<-3\lor-3<x<4\lor x>4