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

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

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

domain

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

lo g_{3} (4 \cdot 3^{x - 1} - 1)

\frac{3 x + 3}{x ^{2} - 25}

5 x - 13

y = csc (x) + 1

f (x) = - 2 x + 6

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