What is the domain of (5x-3)/(1-4x) ?

The domain of (5x-3)/(1-4x) is x 1/4

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domain of (5x-3)/(1-4x)

domain

\frac{5 x - 3}{1 - 4 x}

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) = x + \frac{x}{x ^{2} - 1}

1 + \frac{2}{x}

f (x) = \frac{1}{6 - 2 x - x ^{2}}

f (x) = (x - 2)^{3} (3 x + 14)

lo g_{3} (x - 3)

What is the domain of (5x-3)/(1-4x) ?
The domain of (5x-3)/(1-4x) is x< 1/4 \lor x> 1/4