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

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

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

domain

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

x < \frac{2}{5} or x > \frac{2}{5}

Interval Notation

(- \infty, \frac{2}{5}) \cup (\frac{2}{5}, \infty)

Solution steps

Find undefined (singularity) points:

x = \frac{2}{5}

The function domain

x < \frac{2}{5} or x > \frac{2}{5}

f (x) = - 5 x^{3} + 15 x + 3

y = \frac{4}{x}

f (x) = (x + 2)^{2} (x - 1)^{4}

x + 10

y + 3 = 2 (x - 2)

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