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

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

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

domain

f (x) = \frac{x ^{2} + 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) = 5 - 2 x

y = 5 x + 1

f (x) = x - 5 + x + 1

f (x) = (\frac{7}{6})^{x}

x x - 1

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