What is the domain of f(x)=(8x)/(9x-1) ?

The domain of f(x)=(8x)/(9x-1) is x 1/9

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domain of f(x)=(8x)/(9x-1)

domain

f (x) = \frac{8 x}{9 x - 1}

x < \frac{1}{9} or x > \frac{1}{9}

Interval Notation

(- \infty, \frac{1}{9}) \cup (\frac{1}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{9}

The function domain

x < \frac{1}{9} or x > \frac{1}{9}

What is the domain of f(x)=(8x)/(9x-1) ?
The domain of f(x)=(8x)/(9x-1) is x< 1/9 \lor x> 1/9