What is the domain of f(x)=(x-8)/(x^2-6x-16) ?

The domain of f(x)=(x-8)/(x^2-6x-16) is x 8

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domain of f(x)=(x-8)/(x^2-6x-16)

domain

f (x) = \frac{x - 8}{x ^{2} - 6 x - 16}

x < - 2 or - 2 < x < 8 or x > 8

Interval Notation

(- \infty, - 2) \cup (- 2, 8) \cup (8, \infty)

Solution steps

Find undefined (singularity) points:

x = 8, x = - 2

The function domain

x < - 2 or - 2 < x < 8 or x > 8

f (x) = lo g_{10} (\frac{x + 2}{x - 4})

5 x^{2} + x - 2

f (x) = 1 - y + 1

\frac{( x - 7 )}{( x + 4 )}

f (x) = \frac{x + 6}{x ^{2} + x - 30}

What is the domain of f(x)=(x-8)/(x^2-6x-16) ?
The domain of f(x)=(x-8)/(x^2-6x-16) is x<-2\lor-2<x<8\lor x>8