What is the domain of f(a)=(a^2+5a+4)/(a^2+9a+20) ?

The domain of f(a)=(a^2+5a+4)/(a^2+9a+20) is a -4

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domain of f(a)=(a^2+5a+4)/(a^2+9a+20)

domain

f (a) = \frac{a ^{2} + 5 a + 4}{a ^{2} + 9 a + 20}

a < - 5 or - 5 < a < - 4 or a > - 4

Interval Notation

(- \infty, - 5) \cup (- 5, - 4) \cup (- 4, \infty)

Solution steps

Find undefined (singularity) points:

a = - 4, a = - 5

The function domain

a < - 5 or - 5 < a < - 4 or a > - 4

3 x^{2} + 24 x + 9 = 0

x^{2} + 5 x - 14 \leq 0

3 x^{2} + 5 x - 2 < 0

12 x^{2} + 13 x = 4

\frac{3}{4} + \frac{1}{6} - \frac{2}{3}

What is the domain of f(a)=(a^2+5a+4)/(a^2+9a+20) ?
The domain of f(a)=(a^2+5a+4)/(a^2+9a+20) is a<-5\lor-5<a<-4\lor a>-4