What is the domain of \sqrt[3]{(x+5)/(x-2)} ?

The domain of \sqrt[3]{(x+5)/(x-2)} is x 2

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domain of \sqrt[3]{(x+5)/(x-2)}

domain

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

\frac{2 - x ^{2}}{x + 1}

y = x^{2} + 10 x + 24

g (x) = x^{2} + 8 x

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

\frac{5 x - 2}{x + 9}

What is the domain of \sqrt[3]{(x+5)/(x-2)} ?
The domain of \sqrt[3]{(x+5)/(x-2)} is x<2\lor x>2