To find the inverse of where x ≤ 0, follow these steps:
Step 1: Set up the equation
Let . This represents the original function with the given domain restriction.
Step 2: Swap x and y
Exchange and to get . This is a crucial step in finding the inverse function as it allows us to solve for in terms of .
Step 3: Solve for y
1. Subtract 3 from both sides of the equation: