What is the domain of f(a)=(a^2+a-42)/(a^2-a-30) ?

The domain of f(a)=(a^2+a-42)/(a^2-a-30) is a 6

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domain of f(a)=(a^2+a-42)/(a^2-a-30)

domain

f (a) = \frac{a ^{2} + a - 42}{a ^{2} - a - 30}

a < - 5 or - 5 < a < 6 or a > 6

Interval Notation

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

Solution steps

Find undefined (singularity) points:

a = 6, a = - 5

The function domain

a < - 5 or - 5 < a < 6 or a > 6

x^{2} - 12 = 11 x

3 x + 5 > - 1 or - 2 x - 7 > 5

6 x = 1

6 x^{2} + 12 x = 0

x^{2} - 17 x + 64 = - 6

What is the domain of f(a)=(a^2+a-42)/(a^2-a-30) ?
The domain of f(a)=(a^2+a-42)/(a^2-a-30) is a<-5\lor-5<a<6\lor a>6