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

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

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

domain

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

y = 3 x^{2} - 18 x + 30

- e^{x}

- \frac{21}{( 4 + x ) ^{2}}

\frac{1}{2} (x + 3)

y = x^{2} + 5

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