What is the domain of g(x)=(x^2-9)/(x^2-2x-8) ?

The domain of g(x)=(x^2-9)/(x^2-2x-8) is x 4

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domain of g(x)=(x^2-9)/(x^2-2x-8)

domain

g (x) = \frac{x ^{2} - 9}{x ^{2} - 2 x - 8}

x < - 2 or - 2 < x < 4 or x > 4

Interval Notation

(- \infty, - 2) \cup (- 2, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4, x = - 2

The function domain

x < - 2 or - 2 < x < 4 or x > 4

\frac{7 x - 1}{3 x + 5}

2^{x - 5}

f (x) = \frac{3}{x - 2} + \frac{16}{- 5 - x}

y = - 3 - 3 x - x^{2}

lo g_{0.5} (12.6)

What is the domain of g(x)=(x^2-9)/(x^2-2x-8) ?
The domain of g(x)=(x^2-9)/(x^2-2x-8) is x<-2\lor-2<x<4\lor x>4