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

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}

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