What is the domain of f(x)=(5x)/(7x-2) ?

The domain of f(x)=(5x)/(7x-2) is x 2/7

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domain of f(x)=(5x)/(7x-2)

domain

f (x) = \frac{5 x}{7 x - 2}

x < \frac{2}{7} or x > \frac{2}{7}

Interval Notation

(- \infty, \frac{2}{7}) \cup (\frac{2}{7}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{7}

The function domain

x < \frac{2}{7} or x > \frac{2}{7}

What is the domain of f(x)=(5x)/(7x-2) ?
The domain of f(x)=(5x)/(7x-2) is x< 2/7 \lor x> 2/7