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

The domain of f(x)=sqrt((2-x)/x) is 0<x<= 2

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

domain

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

0 < x \leq 2

Interval Notation

(0, 2]

Solution steps

Find non-negative values for radicals:

0 < x \leq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x \leq 2

4 x - x^{2}

3 - 2 x + 1 - x

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

- (x - 3)^{5} (x + 1)^{4}

sin (lo g_{10} (x))

What is the domain of f(x)=sqrt((2-x)/x) ?
The domain of f(x)=sqrt((2-x)/x) is 0<x<= 2