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

1 Answer
Mar 24, 2018

{x in RR : x!=0}

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

Explanation:

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.