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Example 1

Lana is driving home from her friend’s house. She is driving at a steady speed, and her distance from her home, in miles, can be represented by the function , where is her driving time in hours. Find the inverse function to show when, in hours, Lana will be miles from home.
  1. Determine if the function is one-to-one.
  2. Rewrite the function in the form “.”
  3. Switch and in the original equation of the function.
  4. Solve the new equation for by using inverse operations.
  5. 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 for more information.