Precalculus 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 range of the first relation is equal to the domain of the second relation . However, The domain of the first relation is not equal to the range of the second relation , which means that is not the inverse of and vice versa.
is not the inverse of
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