What is the domain of x/(x^2-5x-14) ?

The domain of x/(x^2-5x-14) is x 7

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domain of x/(x^2-5x-14)

domain

\frac{x}{x ^{2} - 5 x - 14}

x < - 2 or - 2 < x < 7 or x > 7

Interval Notation

(- \infty, - 2) \cup (- 2, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = - 2

The function domain

x < - 2 or - 2 < x < 7 or x > 7

y = 5 x + 5

f (x) = 11 - x^{2}, x \geq 0

f (x) = x^{2} + 9

f (x) = (x - 11)^{2}

x^{3} - 3 x^{2} + 3 x - 1

What is the domain of x/(x^2-5x-14) ?
The domain of x/(x^2-5x-14) is x<-2\lor-2<x<7\lor x>7