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

The domain of f(x)=sqrt(2/x-1) is 0<x<= 2

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

domain

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

0 < x \leq 2

Interval Notation

(0, 2]

Solution steps

Find non-negative values for radicals:

0 < x \leq 2

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

0 < x \leq 2

f (x) = - 9 + 8 x - x^{3}

2 x^{2} - 7 x

x^{3} - 3

\frac{1}{x + 7}

f (x) = \frac{3}{x - 3}

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