What is the domain of f(x)=(3x)/(8x-7) ?

The domain of f(x)=(3x)/(8x-7) is x 7/8

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domain of f(x)=(3x)/(8x-7)

domain

f (x) = \frac{3 x}{8 x - 7}

x < \frac{7}{8} or x > \frac{7}{8}

Interval Notation

(- \infty, \frac{7}{8}) \cup (\frac{7}{8}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{7}{8}

The function domain

x < \frac{7}{8} or x > \frac{7}{8}

What is the domain of f(x)=(3x)/(8x-7) ?
The domain of f(x)=(3x)/(8x-7) is x< 7/8 \lor x> 7/8