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

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

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

\frac{1}{x ^{4}}

f (x) = - 20 - 5 x

\frac{e ^{x} - 1}{e ^{x} + 1}

f (x) = 8 - x - 4

4^{x - 2}

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