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.