What is the domain of f(x)=(x+1/x+20)/(x+1/x+2) ?

The domain of f(x)=(x+1/x+20)/(x+1/x+2) is x 0

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domain of f(x)=(x+1/x+20)/(x+1/x+2)

domain

f (x) = \frac{x + \frac{1}{x} + 20}{x + \frac{1}{x} + 2}

x < - 1 or - 1 < x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = - 1, x = 0

The function domain

x < - 1 or - 1 < x < 0 or x > 0

y = x^{2} - 10 x + 25

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

f (x) = \frac{2 x}{5 - x}

f (x) = \frac{4 x}{5} - 1

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

What is the domain of f(x)=(x+1/x+20)/(x+1/x+2) ?
The domain of f(x)=(x+1/x+20)/(x+1/x+2) is x<-1\lor-1<x<0\lor x>0