What is the domain of (x^2+7)/(x^2-5x-14) ?

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

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

domain

\frac{x ^{2} + 7}{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

\frac{x ^{2}}{x ^{2} - 4}

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

f (x) = 3 x e^{8 x}

f (x) = - \frac{9 sin ( x )}{4 x ^{2} - 9 sin ( x )}

2 + 2 x

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