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

The domain of (sqrt(x))/(x-1) is 0 1

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

domain

\frac{x}{x - 1}

0 \leq x < 1 or x > 1

Interval Notation

[0, 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

0 \leq x < 1 or x > 1

f (x) = 9 + 4 x^{2}

f (x) = (x^{2} - 16)^{\frac{1}{2}}

f (x) = \frac{3 x}{4 - x}

- 6 \cdot \frac{1}{cos ( 5 )} (y + π) + 5

f (x) = 4 - 7 t

What is the domain of (sqrt(x))/(x-1) ?
The domain of (sqrt(x))/(x-1) is 0<= x<1\lor x>1