For each of the piecewise-defined functions, determine whether or not the function is one-to-one, and if it is, determine its inverse function.
For each of the piecewise-defined functions, determine whether or not the function is one-to-one, and if it is, determine its inverse function.
Step 1
When x is less than 0 then also y is less than zero
if
Then,
if
if
Then
So,
This means it is a one-to-one function
Step 2
To find the inverse functions we switch x and y and then solve for y
For,
Or,
For
Or,
Or,
Result: