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

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

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domain of f(x)=\sqrt[3]{y/(((y-6)))}

domain

f (x) = 3 \frac{y}{( ( y - 6 ) )}

y < 6 or y > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

y = 6

The function domain

y < 6 or y > 6

f (x) = \frac{3 x + 4 x}{x ^{2} + 7 x + 12}

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

f (x) = \frac{3}{x - 2 - 5}

+ \frac{1}{x + 6}

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

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