What is the domain of (x-2)/(-x^2-2x+8) ?

The domain of (x-2)/(-x^2-2x+8) is x 2

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domain of (x-2)/(-x^2-2x+8)

domain

\frac{x - 2}{- x ^{2} - 2 x + 8}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 4, x = 2

The function domain

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

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