What is the domain of f(x)=(y-10)/(y(y+2)) ?

The domain of f(x)=(y-10)/(y(y+2)) is y 0

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domain of f(x)=(y-10)/(y(y+2))

domain

f (x) = \frac{y - 10}{y ( y + 2 )}

y < - 2 or - 2 < y < 0 or y > 0

Interval Notation

(- \infty, - 2) \cup (- 2, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

y = 0, y = - 2

The function domain

y < - 2 or - 2 < y < 0 or y > 0

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

f (x) = \frac{( x ^{2} )}{x ^{4} + 5}

y = \frac{x ^{2} - 4}{x - 3}

f (x) = 280000 - 35 x

6^{x} + 3

What is the domain of f(x)=(y-10)/(y(y+2)) ?
The domain of f(x)=(y-10)/(y(y+2)) is y<-2\lor-2<y<0\lor y>0