What is the domain of f(x)= 1/(-3x^2-30x-48) ?

The domain of f(x)= 1/(-3x^2-30x-48) is x -2

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domain of f(x)= 1/(-3x^2-30x-48)

domain

f (x) = \frac{1}{- 3 x ^{2} - 30 x - 48}

x < - 8 or - 8 < x < - 2 or x > - 2

Interval Notation

(- \infty, - 8) \cup (- 8, - 2) \cup (- 2, \infty)

Solution steps

Find undefined (singularity) points:

x = - 8, x = - 2

The function domain

x < - 8 or - 8 < x < - 2 or x > - 2

f (x) = - x^{2} - 6 x + 7

y = - 3 cos (x)

\frac{1}{( x - 3 ) ^{2} - 2 ( x - 3 ) + 1}

\frac{2}{5 x + 2}

f (x) = 5 - 4 x

What is the domain of f(x)= 1/(-3x^2-30x-48) ?
The domain of f(x)= 1/(-3x^2-30x-48) is x<-8\lor-8<x<-2\lor x>-2