CCSS IP Math III 4A.1.1 Example 2

Find the inverse, , of the function and determine the domain and range value(s) over which the inverse exists.
  1. Determine whether an inverse exists for this function.
  2. Determine the range of .
  3. Calculate the inverse by switching the domain and function variables, and then renaming as .
  4. Rewrite the inverse in a form that can be solved for .
  5. Solve for using the quadratic formula.
  6. Determine the domain of .
  7. Determine the range of .
  8. Summarize your conclusions.
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