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

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

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

domain

f (x) = \frac{x - 1}{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) = 2 x^{2} - 7 x - 15

arcsin (x^{2})

f (x) = e^{x} - 5

y = \frac{1}{2} x + 5

2 + 5 + 6 x

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