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

Let's evaluate the domain of

\frac{2 x + 9}{9 x - 2} \cdot \frac{8 x}{9 x - 2}

For the expression

\frac{2 x + 9}{9 x - 2}

to exist, you must check:

9 x - 2 \neq 0

ⓘ We add

2

to both sides

9 x \neq 2

ⓘ Both sides are divided by

9

▶Domain of definition:

x \neq \frac{2}{9}

The numeric value of:

x \neq \frac{2}{9}

equals:

▷

x \neq 0.2222 (approximate value)