What is the domain of (5x)/(8x-1) ?

The domain of (5x)/(8x-1) is x 1/8

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domain of (5x)/(8x-1)

domain

\frac{5 x}{8 x - 1}

x < \frac{1}{8} or x > \frac{1}{8}

Interval Notation

(- \infty, \frac{1}{8}) \cup (\frac{1}{8}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{8}

The function domain

x < \frac{1}{8} or x > \frac{1}{8}

f (x) = \frac{- 2 x + 5}{3}

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

f (x) = \frac{x + 7}{x - 6}

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

\frac{2 x}{3 x + 8}

What is the domain of (5x)/(8x-1) ?
The domain of (5x)/(8x-1) is x< 1/8 \lor x> 1/8