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

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

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

domain

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

x < 0 or x > 0

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

g (x) = x + 4

f (x) = x^{3} - x^{2} - x - 2

f (x) = 6 x - 1

f (x) = \frac{3 - x}{4}

x^{3} - 3 x^{2} - 8 x + 160

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