Typesafe Function Composition
This deep dive explores implementing mathematically-correct function composition with full type safety. We’ll build a compose function where compose<A, B, C>(f: B→C, g: A→B): A→C validates type compatibility at compile time, handle variadic arguments through recursive types, and ensure composed pipelines like compose(toString, Math.sqrt, parseInt) automatically infer as (s: string) => string while preventing invalid compositions from compiling.