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

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

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

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x \leq 2

f (x) = sec (x) - \frac{1}{x ^{3}} + 5

f (x) = 8 (x^{7} + 8)^{\frac{1}{2}}

(0, \frac{1}{2}), (- \frac{2}{3}, 0)

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

f (x) = 2 - x + 7

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