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

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

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

domain

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

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

f (x) = lo g_{3} (lo g_{2} (x)) = 1

h (x) = x + 2

y = 5 x

f (x) = \frac{x - 3}{x + 4}

y = - 2

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