What is the domain of f(x)= 1/(x^2-2x-8) ?

The domain of f(x)= 1/(x^2-2x-8) is x 4

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domain of f(x)= 1/(x^2-2x-8)

domain

f (x) = \frac{1}{x ^{2} - 2 x - 8}

x < - 2 or - 2 < x < 4 or x > 4

Interval Notation

(- \infty, - 2) \cup (- 2, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 2

The function domain

x < - 2 or - 2 < x < 4 or x > 4

f (x) = lo g_{2} (x + 3)

f (x) = \frac{3 x - 15}{- x ^{2} + 25}

\frac{7}{x - 1}

f (x) = 7^{x}

\frac{1}{8} x^{3}

What is the domain of f(x)= 1/(x^2-2x-8) ?
The domain of f(x)= 1/(x^2-2x-8) is x<-2\lor-2<x<4\lor x>4