What is the domain of 1/(4x^2+5)*1/(sqrt(5x-2)) ?

The domain of 1/(4x^2+5)*1/(sqrt(5x-2)) is x> 2/5

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domain of 1/(4x^2+5)*1/(sqrt(5x-2))

domain

\frac{1}{4 x ^{2} + 5} \cdot \frac{1}{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}

y = 5 - x

f (z) = \frac{1}{z}

f (x) = \frac{x + 6}{x ^{3} - x}

f (x) = lo g_{10} (3 - 6 x)

4 x - 5

What is the domain of 1/(4x^2+5)*1/(sqrt(5x-2)) ?
The domain of 1/(4x^2+5)*1/(sqrt(5x-2)) is x> 2/5