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

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

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

domain

f (x) = \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 = 2, x = - 4

The function domain

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

f (x) = 2 x^{(3)} + 3 x^{(2)} - 12 x - 7

- 4 x + 24

y = - x^{2} + 4 x - 4

f (x) = \frac{1}{2} x - 7

f (x) = \frac{2 x - 1}{2 x + 4}

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