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

The domain of f(x)= 1/(sqrt(1/x)-1) is 0 1

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

domain

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

0 < x < 1 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x > 0

Find undefined (singularity) points:

x = 1, x = 0

Combine real regions and undefined points for final function domain

0 < x < 1 or x > 1

f (x) = x y - y - 1 = 0

- x^{2} - 3 x + 10

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

x - 16 + 16 - x

y = \frac{1}{a ^{x}}

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