What is the domain of f(x)=(x+8)/(x^2-64) ?

The domain of f(x)=(x+8)/(x^2-64) is x 8

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domain of f(x)=(x+8)/(x^2-64)

domain

f (x) = \frac{x + 8}{x ^{2} - 64}

x < - 8 or - 8 < x < 8 or x > 8

Interval Notation

(- \infty, - 8) \cup (- 8, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 8

The function domain

x < - 8 or - 8 < x < 8 or x > 8

\frac{2 x}{x + 5}

(4, 14), (16, 4)

4 - x^{2}

f (x) = \frac{x ^{4} - 256}{2 x ^{2} - 8 x}

(- 2, 1), (4, - 3)

What is the domain of f(x)=(x+8)/(x^2-64) ?
The domain of f(x)=(x+8)/(x^2-64) is x<-8\lor-8<x<8\lor x>8