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

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

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

domain

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

x > \frac{2}{5}

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq \frac{2}{5}

Find undefined (singularity) points:

x = \frac{2}{5}

Combine real regions and undefined points for final function domain

x > \frac{2}{5}

f (x) = 6 - x

ln (x + 1 + x^{2})

f (x) = \frac{x + 5}{2}

x^{2} - 2 x + 4

\frac{x ^{2} - 9}{3 x - 6}

What is the domain of f(x)= x/(sqrt(5x-2)) ?
The domain of f(x)= x/(sqrt(5x-2)) is x> 2/5