What is the domain of 4/(-6x^2-5x-1) ?

The domain of 4/(-6x^2-5x-1) is x -1/3

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domain of 4/(-6x^2-5x-1)

domain

\frac{4}{- 6 x ^{2} - 5 x - 1}

x < - \frac{1}{2} or - \frac{1}{2} < x < - \frac{1}{3} or x > - \frac{1}{3}

Interval Notation

(- \infty, - \frac{1}{2}) \cup (- \frac{1}{2}, - \frac{1}{3}) \cup (- \frac{1}{3}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{1}{2}, x = - \frac{1}{3}

The function domain

x < - \frac{1}{2} or - \frac{1}{2} < x < - \frac{1}{3} or x > - \frac{1}{3}

∣ x - 5 ∣

ln (\frac{1}{x + 3})

y = \frac{x ^{2} - 5 x + 6}{x - 4}

f (x) = \frac{2}{3 x ^{2}}

g (x) = lo g_{4} (x + 2) - 1

What is the domain of 4/(-6x^2-5x-1) ?
The domain of 4/(-6x^2-5x-1) is x<-1/2 \lor-1/2 <x<-1/3 \lor x>-1/3