What is the domain of (3x-4)/(5x+6) ?

The domain of (3x-4)/(5x+6) is x -6/5

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domain of (3x-4)/(5x+6)

domain

\frac{3 x - 4}{5 x + 6}

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

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - \frac{6}{5}

The function domain

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

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