# Algebra Examples

Determine if f is the Inverse Function of g
,
Since there is one value of for every value of in , this relation is a function.
The relation is a function.
The domain is the set of all the values of . The range is the set of all the values of .
Domain:
Range:
Since there is one value of for every value of in , this relation is a function.
The relation is a function.
The domain is the set of all the values of . The range is the set of all the values of .
Domain:
Range:
The domain of the first relation is equal to the range of the second relation . Also, the range of the first relation is equal to the domain of the second relation , which means that is the inverse of and vice versa.
is the inverse of