What is the domain of (2x-3)/(5x+2) ?

The domain of (2x-3)/(5x+2) is x -2/5

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domain of (2x-3)/(5x+2)

domain

\frac{2 x - 3}{5 x + 2}

x < - \frac{2}{5} or x > - \frac{2}{5}

Interval Notation

(- \infty, - \frac{2}{5}) \cup (- \frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = - \frac{2}{5}

The function domain

x < - \frac{2}{5} or x > - \frac{2}{5}

What is the domain of (2x-3)/(5x+2) ?
The domain of (2x-3)/(5x+2) is x<-2/5 \lor x>-2/5