What is the domain of f(x)=(-2x+99)/(x(x+11)) ?

The domain of f(x)=(-2x+99)/(x(x+11)) is x 0

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domain of f(x)=(-2x+99)/(x(x+11))

domain

f (x) = \frac{- 2 x + 99}{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) = 2 cos (ln (1 - x)) + 1

f (x) = 4 x^{3} + 2 x^{2}

(- 2, - 3), (1, - 9)

lo g_{2} (n)

What is the domain of f(x)=(-2x+99)/(x(x+11)) ?
The domain of f(x)=(-2x+99)/(x(x+11)) is x<-11\lor-11<x<0\lor x>0