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If H(z) is the system function of an LTI system and HI(z) is the system function of the inverse LTI system, then which of the following is true?

If H(z) is the system function of an LTI system and HI(z) is the system function of the inverse LTI system, then which of the following is true? Correct Answer H(z).HI(z)=1

The inverse to a linear time invariant system with impulse response h(n) and system function H(z) is defined as the system whose impulse response is hI(n) and system function HI(z), satisfy the following condition H(z).HI(z)=1.

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What is important for the democratic society to function properly?