What is the domain of f(x)=(x+11)/(x+2)+1/x ?

The domain of f(x)=(x+11)/(x+2)+1/x is x 0

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domain of f(x)=(x+11)/(x+2)+1/x

domain

f (x) = \frac{x + 11}{x + 2} + \frac{1}{x}

x < - 2 or - 2 < x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 2, x = 0

The function domain

x < - 2 or - 2 < x < 0 or x > 0

\frac{2 - x}{x + 1}

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

f (x) = x^{4} - 2 x^{2} - 4

f (t) = t + 7

\frac{1}{x ^{2} - 4}

What is the domain of f(x)=(x+11)/(x+2)+1/x ?
The domain of f(x)=(x+11)/(x+2)+1/x is x<-2\lor-2<x<0\lor x>0