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

The domain of f(x)=arccos(1/x) is x = 1

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

domain

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

x \leq - 1 or x \geq 1

Interval Notation

(- \infty, - 1] \cup [1, \infty)

Solution steps

Find known functions domain restrictions:

x \leq - 1 or x \geq 1

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x \leq - 1 or x \geq 1

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