What is the domain of (2x+9)/(9x-2)*(8x)/(9x-2) ?

The domain of (2x+9)/(9x-2)*(8x)/(9x-2) is x 2/9

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domain of (2x+9)/(9x-2)*(8x)/(9x-2)

domain

x < \frac{2}{9} or x > \frac{2}{9}

Interval Notation

(- \infty, \frac{2}{9}) \cup (\frac{2}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{9}

The function domain

x < \frac{2}{9} or x > \frac{2}{9}

What is the domain of (2x+9)/(9x-2)*(8x)/(9x-2) ?
The domain of (2x+9)/(9x-2)*(8x)/(9x-2) is x< 2/9 \lor x> 2/9