# 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.

- Determine if the function is one-to-one.
- Rewrite the function
in the form “ .” - Switch
and in the original equation of the function. - Solve the new equation for
by using inverse operations. - Replace
with to show that the equation is the inverse of .

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