What is the domain of f(x)=(4x+9)/(x^2+11x+30) ?

The domain of f(x)=(4x+9)/(x^2+11x+30) is x -5

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domain of f(x)=(4x+9)/(x^2+11x+30)

domain

f (x) = \frac{4 x + 9}{x ^{2} + 11 x + 30}

x < - 6 or - 6 < x < - 5 or x > - 5

Interval Notation

(- \infty, - 6) \cup (- 6, - 5) \cup (- 5, \infty)

Solution steps

Find undefined (singularity) points:

x = - 5, x = - 6

The function domain

x < - 6 or - 6 < x < - 5 or x > - 5

f (x) = \frac{x - 2}{5 + x}

y = 2^{x} y = x^{3 - 3 x}

f (x) = 3 - 2^{x}

g (x) = \frac{1}{x ^{2} - 9}

f (x) = (x - 16)^{2}, [16, \infty]

What is the domain of f(x)=(4x+9)/(x^2+11x+30) ?
The domain of f(x)=(4x+9)/(x^2+11x+30) is x<-6\lor-6<x<-5\lor x>-5