What is the domain of f(x)=(((x^3-1))/(sqrt(x)-1)) ?

The domain of f(x)=(((x^3-1))/(sqrt(x)-1)) is 0 1

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domain of f(x)=(((x^3-1))/(sqrt(x)-1))

domain

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

What is the domain of f(x)=(((x^3-1))/(sqrt(x)-1)) ?
The domain of f(x)=(((x^3-1))/(sqrt(x)-1)) is 0<= x<1\lor x>1