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

The domain of 1/(-10(\frac{1){-5x-6})+3} is x -6/5

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domain of 1/(-10(\frac{1){-5x-6})+3}

domain

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

x < - \frac{28}{15} or - \frac{28}{15} < x < - \frac{6}{5} or x > - \frac{6}{5}

Interval Notation

(- \infty, - \frac{28}{15}) \cup (- \frac{28}{15}, - \frac{6}{5}) \cup (- \frac{6}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{28}{15}, x = - \frac{6}{5}

The function domain

x < - \frac{28}{15} or - \frac{28}{15} < x < - \frac{6}{5} or x > - \frac{6}{5}

What is the domain of 1/(-10(\frac{1){-5x-6})+3} ?
The domain of 1/(-10(\frac{1){-5x-6})+3} is x<-28/15 \lor-28/15 <x<-6/5 \lor x>-6/5