What is the domain of (3x)/(4x-1) ?

The domain of (3x)/(4x-1) is x 1/4

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domain of (3x)/(4x-1)

domain

\frac{3 x}{4 x - 1}

x < \frac{1}{4} or x > \frac{1}{4}

Interval Notation

(- \infty, \frac{1}{4}) \cup (\frac{1}{4}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{4}

The function domain

x < \frac{1}{4} or x > \frac{1}{4}

\frac{21}{x ^{2} - x - 12} + \frac{x - 5}{6} - 23

f (x) = ln (8 - x)

\frac{x ^{2} - 12}{6}

f (x) = \frac{x + 1}{2 - x}

f (x) = \frac{2 x - 4}{x ^{2} + 5 x - 14}

What is the domain of (3x)/(4x-1) ?
The domain of (3x)/(4x-1) is x< 1/4 \lor x> 1/4