Practice Question on "Signals and Systems"

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Topic: System Invertibility


The input x(t) and the output y(t) of a system are related by the equation

$ y(t)=cos( x (t) ) $

Is the system invertible (yes/no)? If you answered "yes", find the inverse of this system. If you answered "no", give a mathematical proof that the system is not invertible.

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