What is the domain of (8x+5)/(2-5x) ?

The domain of (8x+5)/(2-5x) is x 2/5

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domain of (8x+5)/(2-5x)

domain

\frac{8 x + 5}{2 - 5 x}

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 (8x+5)/(2-5x) ?
The domain of (8x+5)/(2-5x) is x< 2/5 \lor x> 2/5