What is the domain of f(x)= x/(x^3-64) ?

The domain of f(x)= x/(x^3-64) is x 4

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domain of f(x)= x/(x^3-64)

domain

f (x) = \frac{x}{x ^{3} - 64}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

- 6 x^{2} + 30 x - 36

x^{3} - x

f (x) = lo g_{2} (x + 4)

f (x) = 36 - x^{2}

(- 1, - 4), (6, - 5)

What is the domain of f(x)= x/(x^3-64) ?
The domain of f(x)= x/(x^3-64) is x<4\lor x>4