What is the domain of f(x)= x/(x^{-1)} ?

The domain of f(x)= x/(x^{-1)} is x 0

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domain of f(x)= x/(x^{-1)}

domain

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

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

y = \frac{1}{x ^{2} + 1}

f (x) = 25 - 5 x

36 - x^{2} x + 2

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

What is the domain of f(x)= x/(x^{-1)} ?
The domain of f(x)= x/(x^{-1)} is x<0\lor x>0