What is the domain of (x-4)/(x^2-2x-15) ?

The domain of (x-4)/(x^2-2x-15) is x 5

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domain of (x-4)/(x^2-2x-15)

domain

\frac{x - 4}{x ^{2} - 2 x - 15}

x < - 3 or - 3 < x < 5 or x > 5

Interval Notation

(- \infty, - 3) \cup (- 3, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

x = 5, x = - 3

The function domain

x < - 3 or - 3 < x < 5 or x > 5

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

g (x) = \frac{1}{x} - \frac{3}{x + 2}

f (x) = - 3^{- x}

f (x) = x^{2} + \frac{16}{x}

\frac{5 x + 25}{9}

What is the domain of (x-4)/(x^2-2x-15) ?
The domain of (x-4)/(x^2-2x-15) is x<-3\lor-3<x<5\lor x>5