What is the domain of f(x)=(7x+9)/(9x-7)*(9x)/(9x-7) ?

The domain of f(x)=(7x+9)/(9x-7)*(9x)/(9x-7) is x 7/9

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domain of f(x)=(7x+9)/(9x-7)*(9x)/(9x-7)

domain

f (x) = \frac{7 x + 9}{9 x - 7} \cdot \frac{9 x}{9 x - 7}

x < \frac{7}{9} or x > \frac{7}{9}

Interval Notation

(- \infty, \frac{7}{9}) \cup (\frac{7}{9}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{9}

The function domain

x < \frac{7}{9} or x > \frac{7}{9}

What is the domain of f(x)=(7x+9)/(9x-7)*(9x)/(9x-7) ?
The domain of f(x)=(7x+9)/(9x-7)*(9x)/(9x-7) is x< 7/9 \lor x> 7/9