What is the domain of f(x)=(x+6)/(x(x+11)) ?

The domain of f(x)=(x+6)/(x(x+11)) is x 0

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domain of f(x)=(x+6)/(x(x+11))

domain

f (x) = \frac{x + 6}{x ( x + 11 )}

x < - 11 or - 11 < x < 0 or x > 0

Interval Notation

(- \infty, - 11) \cup (- 11, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0, x = - 11

The function domain

x < - 11 or - 11 < x < 0 or x > 0

f (x) = \frac{x - 8}{x + 5}

tan (\frac{π}{9} x)

x + 4 - 1

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

(5, 4), (4, 7)

What is the domain of f(x)=(x+6)/(x(x+11)) ?
The domain of f(x)=(x+6)/(x(x+11)) is x<-11\lor-11<x<0\lor x>0