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

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

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

domain

f (x) = 3 (\frac{y}{y - 3})

y < 3 or y > 3

Interval Notation

(- \infty, 3) \cup (3, \infty)

Solution steps

Find undefined (singularity) points:

y = 3

The function domain

y < 3 or y > 3

d o main y = 0.5 (x^{2} - 10 x - 5)

d o main \frac{x ^{2} - 13 x + 36}{x ^{2} + 25}

d o main f (x) = \frac{x ^{2} - 36}{x ^{2} - 25}

d o main \frac{( 6 + x ) ( 3 + x )}{- 3 - 4 x}

d o main - 3.3

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