What is the domain of f(x)= 4/(y^2-y) ?

The domain of f(x)= 4/(y^2-y) is y 1

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domain of f(x)= 4/(y^2-y)

domain

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

y < 0 or 0 < y < 1 or y > 1

Interval Notation

(- \infty, 0) \cup (0, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

y = 1, y = 0

The function domain

y < 0 or 0 < y < 1 or y > 1

f (x) = 2 x^{2} + 5

3 x^{2} - 2

(2, - 2), (5, 1)

\frac{4 x + 4}{x ^{2} + 3 x + 2}

f (x) = 0.5 cos (6 x)

What is the domain of f(x)= 4/(y^2-y) ?
The domain of f(x)= 4/(y^2-y) is y<0\lor 0<y<1\lor y>1