What is the domain of f(x)= 7/(sqrt(x^3-1)) ?

The domain of f(x)= 7/(sqrt(x^3-1)) is x>1

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domain of f(x)= 7/(sqrt(x^3-1))

domain

f (x) = \frac{7}{x ^{3} - 1}

x > 1

Interval Notation

(1, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 1

Find undefined (singularity) points:

x = 1

Combine real regions and undefined points for final function domain

x > 1

(0.6, - 0.2), (3.1, 1.4)

x^{3} - 9 x^{2} - 81 x

\frac{3 x ^{2} + 2 x - 1}{6 x ^{2} - 7 x - 3}

x + 2 y = 4

10 - \frac{1}{5 x}

What is the domain of f(x)= 7/(sqrt(x^3-1)) ?
The domain of f(x)= 7/(sqrt(x^3-1)) is x>1