I see a LOT of completely wrong information here.
@elizabeth
No. Gain stages have nothing to do with inverting the signal. Gain stages invert the signal only when the gain device is operated in common source or equivalent mode for the particular gain device. That's the mode that gets you only voltage gain which is all you need in a pre-amp since the load a pre-amp drives is of high impedance and requires very little current. Common drain and common gate modes get you only current gain or both current and voltage gain, respectively, and both of those modes are non-inverting. It has nothing to do with swapping left and right channels. You can't just rewire your RCA cables backwards either. Swapping the polarity of the speaker cables is the easy fix. If we're talking about an inverting phono pre-amp, you should reverse the wires to the cartridge.
@elizabeth
No. Gain stages have nothing to do with inverting the signal. Gain stages invert the signal only when the gain device is operated in common source or equivalent mode for the particular gain device. That's the mode that gets you only voltage gain which is all you need in a pre-amp since the load a pre-amp drives is of high impedance and requires very little current. Common drain and common gate modes get you only current gain or both current and voltage gain, respectively, and both of those modes are non-inverting. It has nothing to do with swapping left and right channels. You can't just rewire your RCA cables backwards either. Swapping the polarity of the speaker cables is the easy fix. If we're talking about an inverting phono pre-amp, you should reverse the wires to the cartridge.

