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

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

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

domain

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

x < 1 or x \geq 2

Interval Notation

(- \infty, 1) \cup [2, \infty)

Solution steps

Find non-negative values for radicals:

x < 1 or x \geq 2

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x < 1 or x \geq 2

f (x) = \frac{x - 3}{3 x + 5}

f (x) = 1 - x

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

4 x^{2} - 24 x + 33

f (x) = 12 x + 6

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