How do you find the domain of $g(x)= 1/x$ ?

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Answer 1 · 2018-03-24T15:11:52

${x in RR : x!=0}$

$(-oo,0)uu(0,oo)$

$g(x)=1/x$ is undefined for $x=0$ ( division by zero )

It is defined for all $RR$ except $0$ :

We can express this in set notation as:

${x in RR : x!=0}$

Or a union of intervals:

$(-oo,0)uu(0,oo)$

The parenthesis indicate open intervals, end points not included.

How do you find the domain of g(x)= 1/xg(x)= 1/x?