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

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

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

domain

f (x) = arctan (\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

f (x) = \frac{x + 8}{x - 2}

\frac{x + 5}{x ^{2} + x - 6}

h (x) = x - 3

\frac{12}{∣ x ∣ - 3}

- 4 x - 12

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