The concept of the "inverse" of a sound wave is not well-defined. In general, sound waves are complex and exhibit various characteristics such as frequency, amplitude, and phase. Inverting a sound wave would involve reversing these characteristics, which could result in a significantly different and potentially unintelligible sound.
If you were to invert the amplitude of a sound wave, for example, the resulting sound would be an inverted version in terms of loudness. The quieter parts of the original wave would become louder, and the louder parts would become quieter. This could potentially lead to an altered perception of the sound, but it would still retain the original frequency and timing information.
However, inverting the phase of a sound wave would result in a waveform that is flipped upside down. When played, it would sound similar to the original sound but with a phase shift. In most cases, the perceived difference may not be noticeable to the human ear, especially if the sound is complex and contains multiple frequencies.
It's worth mentioning that manipulating sound waves in such ways is often done in audio processing and synthesis techniques for creative purposes, but the specific outcome would depend on the nature of the sound wave and the type of inversion being applied.