What is the domain of f(x)=(\sqrt[3]{x-4})/(x^3-4) ?

The domain of f(x)=(\sqrt[3]{x-4})/(x^3-4) is x \sqrt[3]{4}

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domain of f(x)=(\sqrt[3]{x-4})/(x^3-4)

domain

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

x < 34 or x > 34

Interval Notation

(- \infty, 34) \cup (34, \infty)

Solution steps

Find undefined (singularity) points:

x = 34

The function domain

x < 34 or x > 34

r an g e x - 6

d o main f (x) = \frac{2}{3 ( x + 3 )}

p er p e n d i c u l a r 2 x + 7 y = 1, (1, 7)

s im pl i f y (2.5) (- 1.7)

sy mm e t ry x^{2} - 4 x + 4

What is the domain of f(x)=(\sqrt[3]{x-4})/(x^3-4) ?
The domain of f(x)=(\sqrt[3]{x-4})/(x^3-4) is x<\sqrt[3]{4}\lor x>\sqrt[3]{4}