What is the domain of f(x)=\sqrt[3]{y/(y-5)} ?

The domain of f(x)=\sqrt[3]{y/(y-5)} is y 5

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domain of f(x)=\sqrt[3]{y/(y-5)}

domain

y < 5 or y > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

y = 5

The function domain

y < 5 or y > 5

f (x) = (x + 4) = 0

ln (- x^{2} + 5 x - 2)

lo g_{2} (x + 1) + 3

f (t) = 5.5 t^{2} + 6 t

f (x) = \frac{23}{13 x - 31}

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