What is the domain of f(x)=(4y^2+16y+64)/(y^3-6y^2) ?

The domain of f(x)=(4y^2+16y+64)/(y^3-6y^2) is y 6

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domain of f(x)=(4y^2+16y+64)/(y^3-6y^2)

domain

f (x) = \frac{4 y ^{2} + 16 y + 64}{y ^{3} - 6 y ^{2}}

y < 0 or 0 < y < 6 or y > 6

Interval Notation

(- \infty, 0) \cup (0, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

y = 0, y = 6

The function domain

y < 0 or 0 < y < 6 or y > 6

f (x) = \frac{1}{\frac{20}{x - 5} - 2}

f (x) = x^{3} - 3 x^{2}

- (x - 7)^{2} + 4

(8.5) (0.3)

f (x) = - \frac{1}{4} x^{2} + 2 x - 1

What is the domain of f(x)=(4y^2+16y+64)/(y^3-6y^2) ?
The domain of f(x)=(4y^2+16y+64)/(y^3-6y^2) is y<0\lor 0<y<6\lor y>6