What is the domain of f(x)=(x+6)/(2x^2+24x+70) ?

The domain of f(x)=(x+6)/(2x^2+24x+70) is x -5

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domain of f(x)=(x+6)/(2x^2+24x+70)

domain

f (x) = \frac{x + 6}{2 x ^{2} + 24 x + 70}

x < - 7 or - 7 < x < - 5 or x > - 5

Interval Notation

(- \infty, - 7) \cup (- 7, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5, x = - 7

The function domain

x < - 7 or - 7 < x < - 5 or x > - 5

What is the domain of f(x)=(x+6)/(2x^2+24x+70) ?
The domain of f(x)=(x+6)/(2x^2+24x+70) is x<-7\lor-7<x<-5\lor x>-5