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

The domain of (sqrt(5-x))/(3x) is x<0\lor 0<x<= 5

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

domain

\frac{5 - x}{3 x}

x < 0 or 0 < x \leq 5

Interval Notation

Solution steps

Find non-negative values for radicals:

x \leq 5

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or 0 < x \leq 5

f (x) = x^{3} + 3 x^{2}

lo g_{x} (x)

f (x) = \frac{1}{ln ( 3 - x ^{2} )}

sin (4 t)

x^{2} - 5, x \geq 0

What is the domain of (sqrt(5-x))/(3x) ?
The domain of (sqrt(5-x))/(3x) is x<0\lor 0<x<= 5