Precalculus Examples

Determine if f is the Inverse Function of g
,
Step 1
Since there is one value of for every value of in , this relation is a function.
The relation is a function.
Step 2
The domain is the set of all the values of . The range is the set of all the values of .
Domain:
Range:
Step 3
Since there is one value of for every value of in , this relation is a function.
The relation is a function.
Step 4
The domain is the set of all the values of . The range is the set of all the values of .
Domain:
Range:
Step 5
The domain of the first relation is not equal to the range of the second relation and the range of the first relation is not equal to the domain of the second relation , which means that is not the inverse of and vice versa.
is not the inverse of
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