Simple amplifier gain question

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Chops211

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If Vsource = 3 + 0.1sin(1000t)V and Vout = -2sin(1000t) Gain would be Av = -20, correct? It would not be correct to divide -2/(3 + 0.1), but -2/0.1. How would one remove offset from the input signal when designing a MOSFET transistor amplifier using only 1 transistor?

-Thank you

Added after 1 hours 1 minutes:

Using a capacitor and resistor as a high-band pass works, but I need to design an amplifier using only 1 resistor, 1 capacitor, 1 DC source, and unlimited N MOSFETs to create a gain of -20. Any ideas how I would position the MOSFETS?
 

Using only one resistor sounds like a trick rather than a real world design problem. You'll need multiple transistors as output load.
 

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