In a cutting-edge greenhouse, an advanced climate digital control system is installed based on a DC inverter that maintains the desired temperature in the green house. The system's temperature control function is described by  where T represents the temperature inside the greenhouse in degrees Celsius, and C represents the desired control setting on the climate control system of DC inverter. Based on that information, please provide answers to the following questions: (i) Using the concept of the inverse function, determine the control setting (C) as a function of greenhouse temperature (T). Please outline all the steps clearly. (ii)Discuss any practical limitations or considerations that may impact the functionality of the inverse function within the context of the greenhouse climate control system.

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