What is the domain of f(x)=sqrt((-2/x)+4) ?

The domain of f(x)=sqrt((-2/x)+4) is x = 1/2

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domain of f(x)=sqrt((-2/x)+4)

domain

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

x < 0 or x \geq \frac{1}{2}

Interval Notation

(- \infty, 0) \cup [\frac{1}{2}, \infty)

Solution steps

Find non-negative values for radicals:

x < 0 or x \geq \frac{1}{2}

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq \frac{1}{2}

5 x^{3} - 6

2000 x - 5 x^{2}

f (x) = y + 2

x + ln (x^{2} - 1)

\frac{9}{2 x + 9}

What is the domain of f(x)=sqrt((-2/x)+4) ?
The domain of f(x)=sqrt((-2/x)+4) is x<0\lor x>= 1/2