What is the domain of (sqrt(1+4x^6))/(2-x^3) ?

The domain of (sqrt(1+4x^6))/(2-x^3) is x \sqrt[3]{2}

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domain of (sqrt(1+4x^6))/(2-x^3)

domain

\frac{1 + 4 x ^{6}}{2 - x ^{3}}

x < 32 or x > 32

Interval Notation

(- \infty, 32) \cup (32, \infty)

Solution steps

Find non-negative values for radicals:

- \infty < x < \infty

Find undefined (singularity) points:

x = 32

Combine real regions and undefined points for final function domain

x < 32 or x > 32

in v erse f (x) = \frac{2}{3} (x - 1)^{2} - 3

d o main f (x) = - 2 x - 3 - 1

d o main f (x) = 140 (1.6)^{x}

in f l ec t i o n f (x) = (x + 5)^{\frac{2}{7}}

am pl i t u d e sin (6 x)

What is the domain of (sqrt(1+4x^6))/(2-x^3) ?
The domain of (sqrt(1+4x^6))/(2-x^3) is x<\sqrt[3]{2}\lor x>\sqrt[3]{2}