What is the domain of (5x)/(4x-1) ?

The domain of (5x)/(4x-1) is x 1/4

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domain of (5x)/(4x-1)

domain

\frac{5 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}

f (x) = \frac{28}{x ^{2} + 7 x - 98}

\frac{5 x}{4 x - 2}

x + 2 - 2 x + 3

f (x) = - 4 lo g_{10} (x + 2)

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

What is the domain of (5x)/(4x-1) ?
The domain of (5x)/(4x-1) is x< 1/4 \lor x> 1/4