What is the domain of f(x)=sqrt(1-2/x) ?

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

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domain of f(x)=sqrt(1-2/x)

domain

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

x < 0 or x \geq 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x < 0 or x \geq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq 2

f (x) = 5 + \frac{4}{x} + \frac{16}{x ^{2}}

f (x) = \frac{1}{14 - t}

y = \frac{- 8 x ^{3}}{3 x ^{2} - 1}

y = \frac{1}{x} - 3

f (x) = x^{2} + 3

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