What is the domain of (x-4)/(sqrt(5x-3)) ?

The domain of (x-4)/(sqrt(5x-3)) is x> 3/5

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domain of (x-4)/(sqrt(5x-3))

domain

\frac{x - 4}{5 x - 3}

x > \frac{3}{5}

Interval Notation

(\frac{3}{5}, \infty)

Solution steps

Find non-negative values for radicals:

x \geq \frac{3}{5}

Find undefined (singularity) points:

x = \frac{3}{5}

Combine real regions and undefined points for final function domain

x > \frac{3}{5}

f (x) = - 0.5 x^{2} + 40 x - 300

f (x) = \frac{2}{∣ x - 2 ∣ - 1}

\frac{1}{( 25 ) ^{x} + 4 ( 5 ^{x} ) - 1}

y = 3 (x + 7) (x + 3)

y = \frac{x - 1}{x ^{2} - x - 2}

What is the domain of (x-4)/(sqrt(5x-3)) ?
The domain of (x-4)/(sqrt(5x-3)) is x> 3/5