Inverse Functions

Composition

Example 2

Are InverseEx2-1 and InverseEx2-2 inverses?


Step 1. Find the composition f(g(x)) Step 2. Find the composition g(f(x))
InverseEx2-3
 InverseEx2-4











Step 3. Determine if the functions are inverses.

Since InverseEx2-5 and InverseEx2-6 , the functions are NOT
inverses. To be inverses, both compositions must produce only x.