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

The domain of f(x)=sqrt((5-x)/x) is 0<x<= 5

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

domain

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

0 < x \leq 5

Interval Notation

(0, 5]

Solution steps

Find non-negative values for radicals:

0 < x \leq 5

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x \leq 5

\frac{9}{( x + 1 ) ^{2} - 1}

y = \frac{7 x + 3}{x ^{2} + 1}

1 - x

f (x) = x^{4} - 16

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

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