UCSS Math III 4A.1.1 Example 1

Find the inverse, , of the function and determine the domain value(s) over which the inverse exists.
  1. Switch the domain and function variables, and then rename as .
  2. Solve the possible inverse for .
  3. Determine the domain of .
  4. Determine the range of .
  5. Determine the domain of .
  6. Determine whether the function exhibits one-to-one correspondence.
  7. Determine the parts of its domain over which exhibits one-to-one correspondence.
  8. Determine the range of .
  9. Match domains to ranges to find the inverse(s) of .
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