What is the domain of 1/(-10x+3) 1/(-5x-6) ?

The domain of 1/(-10x+3) 1/(-5x-6) is x 3/10

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domain of 1/(-10x+3) 1/(-5x-6)

domain

\frac{1}{- 10 x + 3} \frac{1}{- 5 x - 6}

x < - \frac{6}{5} or - \frac{6}{5} < x < \frac{3}{10} or x > \frac{3}{10}

Interval Notation

(- \infty, - \frac{6}{5}) \cup (- \frac{6}{5}, \frac{3}{10}) \cup (\frac{3}{10}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{3}{10}, x = - \frac{6}{5}

The function domain

x < - \frac{6}{5} or - \frac{6}{5} < x < \frac{3}{10} or x > \frac{3}{10}

What is the domain of 1/(-10x+3) 1/(-5x-6) ?
The domain of 1/(-10x+3) 1/(-5x-6) is x<-6/5 \lor-6/5 <x< 3/10 \lor x> 3/10