What is the domain of (\sqrt[3]{x-6})/(x^3-6) ?

The domain of (\sqrt[3]{x-6})/(x^3-6) is x \sqrt[3]{6}

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domain of (\sqrt[3]{x-6})/(x^3-6)

domain

\frac{3 x - 6}{x ^{3} - 6}

x < 36 or x > 36

Interval Notation

(- \infty, 36) \cup (36, \infty)

Solution steps

Find undefined (singularity) points:

x = 36

The function domain

x < 36 or x > 36

f (x) = \frac{( x + 9 )}{( x ^{2} - 81 )}

f (x) = \frac{4 x ^{2} + 4}{∣ 2 x ^{2} - 8 ∣}

f (x) = \frac{( 1 + x )}{e ^{c o s (x)}}

(x - 1) (2 x + 1) (x - 3) (x + 4)

y = 2 (x + 5) - 2

What is the domain of (\sqrt[3]{x-6})/(x^3-6) ?
The domain of (\sqrt[3]{x-6})/(x^3-6) is x<\sqrt[3]{6}\lor x>\sqrt[3]{6}