What is the domain of f(x)=(8x+5)/(x^2-6x-27) ?

The domain of f(x)=(8x+5)/(x^2-6x-27) is x 9

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domain of f(x)=(8x+5)/(x^2-6x-27)

domain

f (x) = \frac{8 x + 5}{x ^{2} - 6 x - 27}

x < - 3 or - 3 < x < 9 or x > 9

Interval Notation

(- \infty, - 3) \cup (- 3, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9, x = - 3

The function domain

x < - 3 or - 3 < x < 9 or x > 9

\frac{( x + 1 )}{x - 1}

f (x) = 20 x^{4} - 120 x^{2}

(1, - 1), (- 4, 4)

\frac{x ^{2} + 1}{x}

3 x - 7

What is the domain of f(x)=(8x+5)/(x^2-6x-27) ?
The domain of f(x)=(8x+5)/(x^2-6x-27) is x<-3\lor-3<x<9\lor x>9