What is the domain of ((x^2-6x-55))/(x^2-3x-28) ?

The domain of ((x^2-6x-55))/(x^2-3x-28) is x 7

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domain of ((x^2-6x-55))/(x^2-3x-28)

domain

\frac{( x ^{2} - 6 x - 55 )}{x ^{2} - 3 x - 28}

x < - 4 or - 4 < x < 7 or x > 7

Interval Notation

(- \infty, - 4) \cup (- 4, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 4

The function domain

x < - 4 or - 4 < x < 7 or x > 7

f (x) = \frac{x ^{2} + 5 x}{x ^{3} - 13 x ^{2} + 36 x}

\frac{\frac{11}{x}}{x + 2}

f (x) = (x + 4) = 0

ln (- x^{2} + 5 x - 2)

What is the domain of ((x^2-6x-55))/(x^2-3x-28) ?
The domain of ((x^2-6x-55))/(x^2-3x-28) is x<-4\lor-4<x<7\lor x>7