What is the domain of g(x)= x/(x^2+15x+50) ?

The domain of g(x)= x/(x^2+15x+50) is x -5

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domain of g(x)= x/(x^2+15x+50)

domain

g (x) = \frac{x}{x ^{2} + 15 x + 50}

x < - 10 or - 10 < x < - 5 or x > - 5

Interval Notation

(- \infty, - 10) \cup (- 10, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5, x = - 10

The function domain

x < - 10 or - 10 < x < - 5 or x > - 5

14 - 2 x

f (x) = \frac{x + 4}{- 2 x - 6}

f (x) = (x + 1) ln^{2} (x + 1)

f (x) = x^{3} - 3 x^{2} + 7 x + 1

f (x) = \frac{x}{3}

What is the domain of g(x)= x/(x^2+15x+50) ?
The domain of g(x)= x/(x^2+15x+50) is x<-10\lor-10<x<-5\lor x>-5