What is the domain of f(b)=(b^2+b-30)/(3b^2+18b) ?

The domain of f(b)=(b^2+b-30)/(3b^2+18b) is b 0

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domain of f(b)=(b^2+b-30)/(3b^2+18b)

domain

f (b) = \frac{b ^{2} + b - 30}{3 b ^{2} + 18 b}

b < - 6 or - 6 < b < 0 or b > 0

Interval Notation

(- \infty, - 6) \cup (- 6, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

b = 0, b = - 6

The function domain

b < - 6 or - 6 < b < 0 or b > 0

\frac{2 7}{3 7}

\frac{x ^{2} + 5 x}{2 x ^{2}}

(x - 9) (x - 7)

(2 x - 7) (- 2 x - 7)

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What is the domain of f(b)=(b^2+b-30)/(3b^2+18b) ?
The domain of f(b)=(b^2+b-30)/(3b^2+18b) is b<-6\lor-6<b<0\lor b>0