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

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

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

domain

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

x < 0 or x \geq 1

Interval Notation

(- \infty, 0) \cup [1, \infty)

Solution steps

Find non-negative values for radicals:

x < 0 or x \geq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x < 0 or x \geq 1

f (x) = 2 cos (\frac{3 x}{2})

(- 1, 0), (7, 3)

- x^{2} + 3

f (x) = x + 6 + 3

f (x) = 15 t + 6 t^{2} - t^{3}

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