Part 4/5:
When the sine function's graph is reflected to look for its inverse, the outcome will not yield a legitimate function—it will instead produce multiple outputs for single inputs.
The Challenge of Non-Invertible Functions
Due to the nature of certain functions like sine that yield multiple outputs for a single input, inverses cannot be defined without restrictions. For functions such as sine, we can restrict the domain to make them one-to-one.
For instance, if we limit the sine function to a specific interval, such as ([-π/2, π/2]), it becomes one-to-one, and its inverse can be derived meaningfully. This restricted function will produce a graph that allows for a proper inverse mapping.