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

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

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

domain

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

x \leq - 2 or x > 0

Interval Notation

(- \infty, - 2] \cup (0, \infty)

Solution steps

Find non-negative values for radicals:

x \leq - 2 or x > 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \leq - 2 or x > 0

f (x) = \frac{2 x ^{2} + 5 x - 12}{x + 4}

f (x) = \frac{2 x ^{2} - 5}{3 x + 6}

f (x) = \frac{7}{x ^{2} - 36}

f (x) = lo g_{1} (x)

f (x) = \frac{3 x ^{2} + 7 x - 1}{2 x ^{2} - x - 3}

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