What is the domain of f(x)=(2x+8)/(x^2-3x-18) ?

The domain of f(x)=(2x+8)/(x^2-3x-18) is x 6

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domain of f(x)=(2x+8)/(x^2-3x-18)

domain

f (x) = \frac{2 x + 8}{x ^{2} - 3 x - 18}

x < - 3 or - 3 < x < 6 or x > 6

Interval Notation

(- \infty, - 3) \cup (- 3, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6, x = - 3

The function domain

x < - 3 or - 3 < x < 6 or x > 6

f (x) = \frac{5}{2 4 + 5 x}

2 cos (3 x + \frac{π}{2})

f (x) = \frac{( x - 2 )}{( 1 - 3 x )}

y = x^{2} + 4

\frac{x ^{2} - x - 2}{x - 2}

What is the domain of f(x)=(2x+8)/(x^2-3x-18) ?
The domain of f(x)=(2x+8)/(x^2-3x-18) is x<-3\lor-3<x<6\lor x>6