Example 2
Find the inverse, , of the function and determine the domain value(s) over which the inverse exists.
- Switch the domain and function variables, and then rename as .
- Rewrite the possible inverse in a form that can be solved for .
- Solve for using the quadratic formula.
- Determine the domain of .
- Determine the range of .
- Determine the domain of .
- Determine whether exhibits one-to-one correspondence.
- Determine the parts of its domain over which exhibits one-to-one correspondence.
- Determine the range of .
- Match domains to ranges to find the inverse(s) of .