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

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

x^{2} + 8 x + 18

(- 9, 6), (- 6, - 9)

\frac{( 5 - x )}{( x ^{2} - 4 x )}

f (x) = ∣ x ∣

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