What is the domain of f(x)=(x+2)/(x^2+9x+14) ?

The domain of f(x)=(x+2)/(x^2+9x+14) is x -2

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domain of f(x)=(x+2)/(x^2+9x+14)

domain

f (x) = \frac{x + 2}{x ^{2} + 9 x + 14}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2, x = - 7

The function domain

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

f (x) = - 3 x^{2} + 5 x - 4

4 x + 24 y = - 96

x - 8

f (x) = \frac{4 x ^{2}}{x - 8}

y = \frac{2}{3} x + 1

What is the domain of f(x)=(x+2)/(x^2+9x+14) ?
The domain of f(x)=(x+2)/(x^2+9x+14) is x<-7\lor-7<x<-2\lor x>-2