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

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

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

domain

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

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x \geq 2

y = lo g_{4} (x + 1)

f (x) = \frac{4}{x ^{2} + 6 x}

\frac{x ^{2} + x - 2}{x + 3}

y = (arccos (\frac{2 x}{1 + x}))

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

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