What is the domain of f(x)=(2x)/(5x-1) ?

The domain of f(x)=(2x)/(5x-1) is x 1/5

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domain of f(x)=(2x)/(5x-1)

domain

f (x) = \frac{2 x}{5 x - 1}

x < \frac{1}{5} or x > \frac{1}{5}

Interval Notation

(- \infty, \frac{1}{5}) \cup (\frac{1}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{1}{5}

The function domain

x < \frac{1}{5} or x > \frac{1}{5}

\frac{x ^{2} + 7 x + 12}{x ^{2} - 3 x - 10}

f (x) = cosh^{2} (ln (x) - 1)

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

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

8 + 5 ln (2 x + 3)

What is the domain of f(x)=(2x)/(5x-1) ?
The domain of f(x)=(2x)/(5x-1) is x< 1/5 \lor x> 1/5