Inverse Functions
Composition
Example 2
Are![InverseEx2-1 InverseEx2-1](https://claregladwinresd.glk12.org/pluginfile.php/898/mod_book/chapter/92/Families_Of_Functions/Images/InverseEx2-1.png)
![InverseEx2-2 InverseEx2-2](https://claregladwinresd.glk12.org/pluginfile.php/898/mod_book/chapter/92/Families_Of_Functions/Images/InverseEx2-2.png)
Step 1. Find the composition f(g(x)) | Step 2. Find the composition g(f(x)) |
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Step 3. Determine if the functions are inverses.
Since
and
, the functions are NOT
inverses. To be inverses, both compositions must produce only x.