Example 3
Find the inverse function of . Use a restricted domain so the inverse is a function.
- Determine if the function is one-to-one.
- Determine a restricted domain for on which 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 .