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

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

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

domain

f (x) = \frac{1}{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{2 x + 3}{x + 2}

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

f (x) = \frac{5 x ^{3} - x ^{2} + 4}{3 x ^{3} + 24}

6 - 3 x

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