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

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

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

domain

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

x > 1

Interval Notation

(1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x > 1

\frac{x - 1}{3 x ^{2} - 3}

x + 5 y = - 10

f (x) = x - 1 + 2

y = - \frac{3}{2} x - 5

f (x) = \frac{1}{x - 3}

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