What is the domain of f(x)=(x+8)/(x^2-4) ?

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

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domain of f(x)=(x+8)/(x^2-4)

domain

f (x) = \frac{x + 8}{x ^{2} - 4}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 2, x = - 2

The function domain

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

x e^{- x^{2}}

f (x) = x^{8} - 8 x^{7}

(9.4) (5.8)

f (x) = e^{x} (x + 2)

\frac{( 2 x ^{2} + 32 )}{x}

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