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Example 3

Find the inverse function of . Use a restricted domain so the inverse is a function.
  1. Determine if the function is one-to-one.
  2. Determine a restricted domain for on which the function is one-to-one.
  3. Rewrite the function in the form “.”
  4. Switch and in the original equation of the function.
  5. Solve the new equation for by using inverse operations.
  6. Replace with to show that the equation is the inverse of .
This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit www.walch.com for more information.