What is the domain of f(x)=(x+6)/(x^2-64) ?

The domain of f(x)=(x+6)/(x^2-64) is x 8

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domain of f(x)=(x+6)/(x^2-64)

domain

f (x) = \frac{x + 6}{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

f (x) = \frac{3 x - 9}{x ^{2} - 6 x - 7}

f (x) = lo g_{2} (8 - \frac{7 - 2 x}{3})

\frac{x - 2}{2 x + 5}

g (t) = 1 - 2^{t}

f (x) = - x^{2} + 4 x - 3

What is the domain of f(x)=(x+6)/(x^2-64) ?
The domain of f(x)=(x+6)/(x^2-64) is x<-8\lor-8<x<8\lor x>8